I went to Vermont Academy... Had three great years there.
It won't compare to west coast skiing/snowboarding but in the winter you can ski nearly every day... there is a hill on campus with a rope tow, various rails and boxes. Otherwise you'll be at Okemo.
If you want to look on the east check you Carabasset Valley Academy, Okemo Mountain School, Stratton Mountain School, etc. VA was about as close as you can get to a "mountain school" without the title.
+1 for CO skiing/riding though.