The White Mountains are great. As a local, one of my favorite things about them is that they aren't "cool". The people that make it here seem to respect them and the history.
If you do visit and you're into geology you may want to visit Madison, NH. It's home to the largest glacial erratic in North America.
It really is a great area. Just don't tell anyone.
For those like me who looked into this and were curious about how a US state was "gifted" a 5,000 short ton boulder; the land was gifted, which included the boulder.