Although well past 2 hours North of you, Lamb Lumber has hunting leases available up around Lake Placid. It might be worth contacting them as they may have of know of some closer land..
Your in the same boat as everyone else. I live north of the city and hunting is tough. Archery is about all I have left since I can hunt within sight distance of a house without too much of an issue. Otherwise.........your best bet is joining a hunting club or perhaps Sterling Forest State Park.......you have to get a tag and stuff - but it is a big place.