Some other course in New Hampshire, in North-to-South order:
1) Mount Washington Hotel. It has a Donald Ross layout that was recently restored. It is in Bretton Woods, which is an absolutely gorgeous part of the state.
2) Owl's Nest. Solid Mark Mungeam layout in Campton.
3) Canterbury Woods. This might be a little far south on I-93. It is maybe three hours from the Balsams. However, I highly recommend the course. It is a fairly new Ross Forbes design with tons of strategy and interest. It plays up and down a mountain, and includes a great set of five par threes, a great double-fairway par five at 15, and some wild greens. Check it out if you get the chance.
If you can swing it, try to get on Bald Peak by Lake Winnipesaukee. Classic old Ross course, a truly hidden gem.
Have fun on the trip. That area of the country is phenomenal in July, August, and September. I have vacationed in New Hampshire every year since I was born.