In the Finger Lakes area, consider staying at Letchworth State Park which is on the Genesee River gorge. Beautiful area and nice park for camping. They've done some upgrading of sites, so I'd check them out to see if they meet your needs.
In the Niagara Falls area, Four Mile Creek State Park is located on the US side and only a short ride to the main falls area. It will be quiter and more "woodsey" than any of the parks near the falls on the Canadian side. There's also a KOA in Lewiston, NY....not bad, but your basic KOA...but it's located very near a large waste management area!!!
Also in the Finger Lakes, Watkins Glen State Park is very nice, and the gorge at Watkins Glen is really neat to hike and explore. The tour boat for Seneca Lake is an interesting and scenic ride. Sampson State Park is also a nice one....and while in the Finger Lakes, do visit Corning and the Corning Glass Works.
Have a great trip!
2012 Newmar Bay Star 3302
Blue Ox Avail
BrakeBuddy Advantage
2015 Malibu
"Get busy living, or get busy dying."
Andy Dufresne, The Shawshank Redemption