At stowe there is the Jackson Arena skating rink that is good for a laugh. You can also go on a snow mobile, you could try snow shoeing (maybe not for teens) or even cross country skiing.
30 minutes drive away is are 3 shopping areas including things like Ralph Lauren Outlet, University Mall, Wall Mart, Circuit City, Best Buys, Yankee Candle, Bed Bath and Beyond, plus loads of others where really good deals can be had. This is different to the kind of shopping you will find in NYC, but be warned, excess baggage is expensive these days. However, surface class postage is not. The post offices have large boxes you can pack up and post back. It usually takes about 4 weeks and is great fun to open.
Stowe itself is full of wonderful shops and there is plenty to do. Personally, I cannot get enough of the place and therefore return every year.
Just as a point, within 1 hours drive of Stowe there are several other ski resorts that are well worth a visit.