If you want something approximating a trip up the chute to Trail Crest, go up Icehouse Canyon and when you get to the end up the long east trending switch back after the Columbine Spring, exit the trail to the canyon bottom and head up the chute towards Bighorn Peak...this about 1,700' of climbing in about 1 1/2 miles. There should still be enough snow in that chute.

Also, Mt. Badden-Powell at Vincent Gulch is a nice challenge but if you haven't climbed it before in these conditions you should be aware it is very easy to go off line descending and get into some awfully steep areas. Link Thingy