Like all the lifts at Alta, Wildcat serves a variety of terrain. Also has the best view of the terrain off the High T. On the open face, there will be plenty of bumps with no trees to experiment with, as long as you don't mind doing that where everyone on the lift can watch.
Look for the Saddle Traverse. The top of Spring Valley is one way to get there. When that hasn't been groomed for a while, nice short bump run.
If you are skiing solo, consider the Adult All-Mountain Workshop. I think it's about $90 now. 2.5 hours led by an instructor, but it's more of a guided experience for off-trail exploring than a lesson. They split into small groups based on ability after a ski off. When my friend was at Alta for the first time several years ago, he had a good time off the High T in low visibility since he didn't have to worry about where they were going. I was not as good back then and was in the least adventurous group. Learned about all sorts of short shots in trees on both the Sugarloaf and Collins side.