The only places I've stayed at Big Sky are the Huntley Lodge and a Holiday Inn Express that doesn't seem to be there anymore, and it was before they merged with the adjacent resorts. Huntley Lodge is a nice full service hotel, but the resort lists it as 3-star on their page. They've got two other places that they list as 4 star (Summit and Village Center). Given that the Huntley is better than a Sheraton/Doubletree/Hilton caliber, I'd suspect they're pretty nice. I don't think the mountain has a lot of green runs - probably most are too long, even if they're easy, but there are quite a few blues and easy blacks (whose difficulty will depend on time of day and recent snowfall), and a lot of double diamonds.