You truly want to ski backcountry or just ski powder in bounds? If you really want BC, fuck the towns you said. Go to some little po-dunk spot that is surrounded by mountains. Try Lander,WY , Hamilton,MT, Driggs,ID, or maybe southern Colorado. If you want to move to a "mountain town" full of skiers you're gonna have to play the game like the rest of em. Rentals are impossible to find affordably, the leases are always a year, and you won't be in a nice place. It's fun tho if you don't car about being a dirtbag!
If you're asking about VRBO / vacation rentals, this is not the site for that.