The Conundrum Creek Trailhead and parking area 7 miles southwest of Aspen was closed indefinitely Thursday by the U.S. Forest Service after it was buried earlier this month by a massive avalanche. Aspen-Sopris District Ranger Karen Schroyer issued a temporary closure order to prevent people from. The trail splits immediately before reaching Copper Lake. Copper Creek Trail, 938, leads to the left and Conundrum Trail, 1981, leads to the right and on to Triangle Pass. After crossing Triangle Pass the trail descends into the Conundrum Basin. This is a steep two and a half mile descent to the hot springs.

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Roundtrip Distance from the Hot Springs: 6 miles
Elevation Gain from the Hot Springs: 3,065'
Total Climb Time: about 10 hours
** EDITED **
I soloed this route again on 19 Sep 2015 and discovered a few things that may make the route safer and a bit easier for some. Well, it's 2017 and I'm finally getting around to updating the trip report. Hopefully, those planning their 2017 trip to Conundrum Hot Springs will find something useful in this report.
START of ORIGINAL REPORT
The route descriptions, photos and gpx in this write-up are from a successful climb of both peaks I made on 9 Aug 2014. I had tried this exact same route on 13 Jul 2013 and I made it to the top of Conundrum Peak but was rained out before I could hike the ridge to Castle Peak. I first learned of this route from a 2008 report by polarjud on Summit Post. I decided to finally post a trip report after reading about several instances of confusion concerning this route. Hopefully, this report will be helpful.
This route has no trail or trail markers. Good route finding skills are very helpful. In addition, it contains scree, some Class 3 climbing, exposure, and depending on the time of year some steep snow that has to be traversed. Please consider your own mountaineering experience before committing to this route.
The approach up Conundrum Creek is absolutely beautiful. It is roughly 9 miles of wildflowers, beaver pools, aspen groves, and wonderful views. The 2,000' elevation gain is moderate but steady and never too steep. And, of course, there's a natural hot spring waiting for you at 11,200' to soak your tired legs. Be aware, that in the winter, this trail contains significant avalanche danger.
Please practice low-impact camping around the hot springs. This is a rare spot in Colorado and sadly it is beginning to show signs of heavy use. Fires are not permitted around the springs and you must camp in the designated, first-come-first-serve camp spots. I highly encourage a mid-week trip if you can do it. You have a much better chance at getting a camp spot near the hot spring and you won't be elbow to elbow with others in the pool.
Begin the climb behind camp spot #13, east of the hot springs. Ascend directly up Castleabra's west slope to the cliff bands. At around 11,650', countour north along the base of the cliff bands for about 0.5 miles, keeping between 11,600' and 11,700'. Staying up at the base of the cliffs keeps you off most of the scree and provides easier footing. A helmet is a really good idea for this route.
The yellow circle in the photo shows the location of a snow field that, depending on the time of year and snow pack, you can cross or circumnavigate. An ice axe will provide added security for early season climbs. In August 2014, the snow field was so small I simply travelled below it.
Here's a photo from my Sep 2015 trip showing the terrain along the base of the cliffs.
Eventually, you'll turn Castleabra's north ridge and enter a basin. Climb to about 11,800' as you enter the basin and aim for a small clump of trees on the far side which is the start of Conundrum's northwest ridge. Crossing the basin was really enjoyable. There is a small stream that is easily crossed. At the far side, you'll have to climb a bit of talus to get on the ridge.
Once on the start of the ridge, you'll get to experience some Class 3 climbing and a small amount of bushwhacking through the low-lying shrubs and trees. Find your own line through this section. You may be able to avoid the Class 3 climbing by continuing north past the clump of trees then angling back southeast to gain the ridge.
During my Sep 2015 trip I was indeed able to avoid the Class 3 climbing by hiking further north past the start of the ridge, and then looking right to discover a pleasant, grassy ramp leading up about 80 yards to gain the ridge above the Class 3 section.
After exiting the trees, head for the lower ridge headwall and circle around it to climber's left in order to gain the true ridge.
At this point, the direction along the ridge is very clear. The ridge starts off somewhat broad, and then narrows to a more interesting degree. Take a good look at the weather before embarking on this long ridgeline. The climbing along the ridge stays at pretty much Class 2 on relatively solid rock (for the Elks) with a few exposed places.
At about 13,700' on the ridge you'll encounter the imposing upper headwall.
Here, leave the ridge and traverse climber's right. Stay high near the cliffs for the best footing and to easily avoid the exposure on your right. Take your time through this section. It involves a bit of route finding. You'll have to lose a some precious elevation to clear your last obstacle to gain the scree slope leading to the ridge.
I have overlaid a section of my gpx track onto a GoogleEarth image to help you get a better idea of the upper route. The perspective on the GoogleEarth image makes the slope look a lot steeper than it actually is.
Step onto the open, relatively safe, scree slope leading to the ridge and climb the final 300' of slip-and-slide loose scree to the ridge between Conundrum Peak and Castle Peak.
During my Sep 2015 climb I made use of a low rock rib in the scree slope running towards the saddle. You will fine the climbing on the rib easier and more stable compared to the small, loose scree surrounding it.
After gaining the ridge, there's a well defined trail leading climber's left to Conundrum Peak and right to Castle Peak.
Here again is a good time to take a critical look at the weather before heading up the ridge towards Castle Peak.
On the return, avoid the temptation to return via Roach's 25R4 route as shown by the dashed orange line in the map image below. I actually attempted this on my July 2013 climb to get off the ridge as quickly as possible when the storm rolled in. This route is miserable talus all the way down to the creek. And, crossing the creek to gain the Conundrum Creek trail was not a trivial task. Basically put, that route sucks. I do not recommend it. Instead, retrace your steps all the way back to the hot springs.
Here's the gps plot image from my Sep 2015 climb. I have also added the downloadable gpx file from my Sep 2015 climb. This time I carried my gps all the way to the true Conundrum summit!
Some final thoughts on this route:

- I consider the crux to be the Class 3+ climbing as you first gain the ridge. As indicated in my recent edit, you can avoid this section completely keeping the route at a Class 2+ to low 3. Still, there's definitely some loose boulder hopping you'll have to deal with.
- Another area of interest is when you leave the ridge at 13,700' and traverse to the scree slope. This requires a bit of route finding. You will have to lose some elevation to follow the safest line.
- When ascending the west slope of Castleabra, there's good footing in the green areas (see the photos).
- Concerning weather, this route is exposed with no good options for a quick retreat. Castle Peak is still a ways to go once you get to the saddle. Take a good look at the clouds before committing.
- Soaking a long time in the hot springs the night before can really leave you dehydrated for your climb the next morning if you're not careful. Drink a bunch of water while you soak.
- Finally, the water in the hot springs seems a little hotter and a bit more soothing on the legs after a successful climb. Enjoy!