if you want to ski powder, powder mountain is awesome. no one is ever there, even on busy dump days, and it is just a very fun place to ride. big as hell too. they had a few decent jumps last year when i was there, but i can't compare it to snowbasin.
i hear only good things about snowbasin though, so either would be good.
everyone i know that went to usu always talks about the beav as a good time. apparently for the proxmimity to logan and what you can do it is totally worth the pass price, which isn't much i understand.
as far as park city, you wil probably ride more at the three ogden/logan resorts, maybe you could get a 5 pass punch ticket there if they offer it. 2 hours is a long way to drive for skiing if you have to pass other great resorts on the way.