My county allows controlled deer hunts using bows for a few days a year in hunting season but I think the state parks dont.
Going through Central N.Y. last week, counted over two hundred deer off the side of the roads, some herds were twenty or more, in one place [a deserted house and barn] I stopped and counted 22 feeding around the house and they were within feet of the roadway. It was getting dusk and I slowed down after that. I would consider going back and hunting there but I am not sure about NY hunting laws.