C.B.
My sister lives in Keene, NH which is a cute student town with lots of little shops and restaurants and some awesome hiking trails nearby. Not sure if there is a luxury hotel to make the stay more fun, but you could google it. Mount Monadnock is near there, I think it is the most hiked mountain since it has an easy path to the top and great views from its bald (no trees at the top) head.
Ogunquit or Kennebunkport are also great towns, but since water is the main attraction perhaps not in Feb.