I'm from France and used to snowboard a lot in the Alps but I have been in New York for 10 years and have never been out West snowboarding, usually I go one day per year to the local mountains, 2 hours drive. They are very small resort with a dozen of trail not very steep. Nothing really exciting but if you catch some fresh snow it's always fun.
You can go up north in Vermont (5h drive) for slightly bigger mountain but those are more equivalent to the Jura mountain or Voges strip. Not had but nothing like the Alps
I have never been out west, wife prefers warmer, so we usually do kitesurfing destination...
Kitesurfing is really good around NY//NJ. I mostly go on longisland NY. Some people kite 2 to 3 times per week. With foil you can do like 5. From early Jan to late Feb it's usually to cold but you can go snowkiting upstate NY (6h drive)
Here are a couple of spots in NY/NJ:
Some spots are 25 min drive some are 1h.
Great South Bay NY:
https://youtu.be/oBDNf41uOCA
South shore longislandNY:
https://youtu.be/sVf7i2xjiYI
Northshore longisland and some of NJ Sandy hook:
https://youtu.be/5UDQK6FkxlY
I have a few friends who mountain bike trails in the summer, if you join FB group : "Northeast #kitelife crew" you can ask them about it.
There is Appalachian trail going down the coast. It's only 40 min drive from NYC, bear mountain area is really nice. There should be a lot of fun trails...