Vermont is a very rural area, for pretty much the whole state, I went through it on the way to a crew meet once and didnt even notice.
Maine is ok, too, I used to live in NH, and NY, and I think NY would be the best, although the city is crowded, upstate was pretty nice, but the job market upstate is not great (Kodak, Polaroid, and Xerox all have headquarters in Rochester).
Boston is good too, although commute and transport generally sucks..
Try for Maine, it sounds like the best option. As far as education, kids can go anywhere once they are in college, and before that they can learn just as much anywhere depending on how their brought up and the neighbourhood you live in.
hope that helps
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