There is a ton of backcountry. I live in the ADK state park.
Awesome hiking and beautiful remote lakes. You can get lost up here and really get into nature.
Also being 4+ hours from the city really makes it a lot better. NYC is it's own separate entity in a way. I have all kinds of hikes with in close driving distance. Remote rivers to Kayak. Back roads where the closeout house is a half hour away and you might pass 1 car.