Replying to Skiing Jackson in June?

Hey guys, I'll be moving to the area from Wisconsin on June 1st and I'm wondering where I can get some turns in during the summer.

I'm very unfamiliar with the Jackson area besides the resort, but I have heard that there is good Backcountry skiing from the tram around that time. I should have a touring set-up by the time I'm out there, but also willing to bootpack. As I said, I don't know what's going on. Can somebody please fill me in?