If your looking to stay closer to Snowbasin then Ogden Try Wolf Creek Resort. Wolf Creek is at the base of the road going up to Powder Mountain. You will be across the Valley from Snowbasin with about a 10 min drive to the Mountain. The shuttle bus up to Powder Mountain stop right at Wolf Creek. I know That there are some other accommadations inHuntsville but I can't recall the names of The projects.
There's a place in Eden called The Red Moose Lodge (http://theredmooselodge.com/) that has some very sweet room rates now. They have a shuttle to and from the airport as well as shuttles to PowMow and Snow Basin.