Big Sky, Montana
Big Sky Ski Resort is a freakishly huge ski resort! We spent 3 days shredding the resort and barely got to see every side of it. If you can't fork over the cash to stay at one of the three resorts right at the mountain then we recommend grabbing an Airbnb in Big Sky Meadow Village.
There are city/town shuttles going to the Ski Resort all day every day so you don't need to worry about getting stuck somewhere. From the airport take an Uber to one of the city shuttle bus stops that will take you to the ski resort or town of Big Sky for less than $5.
There isn't much else to do outside of skiing/snowboarding (during winter months).
We haven't been out there during the warmer months but have heard incredible things. Let us know if you have and any recommendations you have!