Easiest way is to find 3-4 friends, one of which who has a car and drive up Friday night. You'll be at the "good" places like Mount Snow, Killington and Loon in about 4-5 hours, depending on traffic. It'll be longer to get to Smuggs or Jay Peak.
Then, do your homework and find a cheap B+B or motel. I did this w/ friends a couple times and rooms were like $120 a night split 4 ways = cake.
Or, get the hell outta NYC and move to Boston instead. Much closer to good riding. Or better yet, move out west.