SGT Lee - when we visited Norwich, granted it was a bit warmer, but we visited the area around Waterbury, which is about half hour away. The Green Mountain Coffee factory and visitors center is there (we went there first and they gave us a coupon booklet which had a coupon for ther and also coupons for other places in the area), along with a cider place where you can get a free donut with one of your coupons. There is the Ben and Jerry's factory there, which we did not make it to, a winery and just tons of other places. The folks at the Green Mountain visitor center gave us a map and pointed out lots of places to go. We ran out of time or would have visited more!
The last time my husband took my son up for his overnight, he stayed at the Comfort Inn and Suites, Montpelier, which is convenient to the express way, about 15 min from the school and they give a discount if you tell them you are visiting Norwich. He was pleased with his stay - said they had a nice breakfast.
Of course, you could go skiing! The Stowe area is very close. Good luck!