Welcome from a fellow Upstate New Yorker. NY has lots of really nice State Parks (SPs). We are on the other side of the Adirondacks from you, but there are tons of Campgrounds (CGs) in the Park and along the St Lawrence. For the most part we do not do private CGs, but there are lots of nice ones of those also.
This Forum is a great place for info. SEARCH works good.
Craig & Cath
2018 2902WS Rockwood Ultra Lite (with tons of Mods)
2017 Ford F250 Lariat, 6.2 gas (2022 F250 Lariat 7.3 gas with 10 speed Xmsn on order)
Equalizer Hitch w/ 4-Point Sway Control
Days camped since 2015(retirement): 1050