Skiing is the best thing, with Canmore, Attitash, Bretton Woods, and Wildcat, just to name a few, all within close distance to Bartlett. You have the best variety. Shopping is also great with the outlets in Conway.
Nestlenook Farm in Jackson is a great place for a break from skiing, with ice skating and sleigh rides, sledding and snow-shoeing, complete with cider, hot chocolate and a cozy fire to warm up by. You can rent everything to enjoy a great day.
Travelling Route 95 to Route 16 is your best bet from Providence. Route 302 offers great scenic views of Mountain Washington.
Best Way To Get Around:
A car is a must unless you cross-country ski or snowmobile.