If I could make a suggestion - You would be better served staying in Ouray rather than Telluride. The trails will be a lot more accessible that way. Otherwise you have to travel over a pass (Imogene or Ophir) just
to get to them. Almost all of the trailheads are off of Hwy 550 (Million Dollar Highway) which comes directly out of Ouray to the south.
My recommendation:
Day 1 - Black Bear Pass, lunch in Telluride, Imogene Pass back to Ouray. This is the classic setup and should be non-negotiable.
Day 2 - First mile of Mineral Creek -> Poughkeepsie Gulch -> Corkscrew Gulch.
Day 3 - Mineral Creek -> Engineer Pass, out and back, or maybe Red Mountain Pass or Clear Lake.