Can't answer specifically, but these are all the base area lodgings developed by the resort and none are far from the lifts. Most are slopeside or a few hundred feet at most. I stayed at the Lake condos once, and they are further from the slopes than any of the II resorts, but not a bad walk.
Nearest airport is Bozeman, less than an hour away depending on weather.
Leading cause of traffic fatalities around Big Sky (it's the truth, I read it in the local paper) is sightseeing. Not much nightlife, but plenty of wildlife.