A 250 mile circle around NYC has a lot of stuff. The Adirondocks, various flavors of Atlantic shore stuff, etc. Lack of things to do outside isn't a reason that holds water :)

To me, California is where you go if you hate winter and like outdoorsy stuff. The unique Californy things are unbelievable, but the reality is most people are living in generic developments and driving to generic office parks, and doing very little else. You can do that in Toledo.