I am in Pasco Fl now but I was born, raised and growed up in Suffolk.. There's a place across from Sagtikos manor in West Islip I used to go to but probably need permission these days.. across from the manor building on the south side of Montauk hgwy there used to be land called the Thorne Estate, it was all grassland and bush from Montauk to the Great South Bay beach.. it was the site of a Revolutionary war skirmish. Go to a local libraries, an older ones, look through the historicals Suffolk is loaded with places of interest most probably forgot about.
btw.. how much is left of democrat Pt if any ? I spent my youth surf casting there..
Good luck