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Tug Hill is great for snow, Snow Ridge is the hill up there, people say they ski the back side of it and it is decent. There are a couple books out about Backcountry in the East, I would look into them. I know around NH MA and VT there are trails and BC other then Tucks. Adirondacks are a very rocky mountian range, I have heard so some people hiking the High Peaks and skiing them.
i too live in NY and i would like to find some backcountry to try, the thing is, the steepest hills are where you find the resorts. Sure you can probably find some good hills for this somewhere near where you are, but most likely there will not be enough snow or too many trees unless you head north.
This year i am going to look for steep clifs next to highways that i can ski on if there is decent powder.
good luck and share your findings