Let me welcome you to New England! I can certainly recommend some of the neighboring towns that have good schools, but I'm always concerned when somebody moves to New Hampshire from a warm-climate state. It's not that I wouldn't welcome an opportunity to sell your family a house, but some families have a difficult time making the transition. You may want to consider the possibility of renting a house before making the long-term commitment of a home purchase.
Now, to answer your question. There are 2 towns that I could recommend to you: Amherst and Bedford. Both of these towns are considered family friendly, and have highly regarded school systems. Large sections of each of these towns would definitely fall within the 20-30 minute drive to the Air Station. Both Bedford and Amherst are considered "upscale towns" with great schools, and taxes are somewhat higher than other towns don't have as much to offer.
You are welcome to contact me at your convenience--I'd be happy to fill you in on some of the amenities of living in either of these very nice towns.