Have a place near Jewett and I love it there.
I’d suggest Arca point https://www.alltrails.com/trail/us/new-york/acra-point-and-burn-knob-hill?p=-1
Or also a bit further away but really nice is Indian head down in Elka park (20min drive) https://www.alltrails.com/trail/us/new-york/indian-head-mountain-loop
This is one of my favorite through hikes, but you will need either a ride to the other trail head or two cars.
Drive over to this trail. https://www.alltrails.com/trail/us/new-york/catskill-creek-and-ramshorn-marsh
There is actually an Audubon sanctuary there, you can't miss it (Ramshorn Livingston Audubon Center.) They have a raptor watch platform I think but I've never been on it . There's a resident bald eagle pair up there.
I haven't been up there in 3 weeks but it was crazy with ruby and golden crowned kinglets, magnolias, black and whites, black throated blues...even if its a bit too late for the warblers you will get a lot of good flycatchers , pewees and pheobes, and red bellied and pileated woodpecker and there is a resident great horned owl you may see too.
These are the two GPX tracks we'll be following:
https://www.alltrails.com/explore/trail/us/new-york/balsam-mt-from-rider-hollow-rd
https://www.alltrails.com/explore/trail/us/new-york/giant-ledge-and-panther-mountain-trail
I'm not too familiar with the cats for car camping, but here's an IDEAL campspot in VT:
The best advice I ever got for avoiding snake bites was was, "never put your hands or feet anywhere you can't see."
Don't reach under ledges, flip over rocks or logs, pick up undisturbed wood, etc., with your hands. Take a walking stick with you, and use that to roll potential firewood or cool rocks or anything else you want to pick up out into the open where you can see it first.
Don't walk in tall grass and dense underbrush, don't kick over logs, tamp down brush, or sweep piles of leaves away with your feet.
Stay towards the center of the trail, try not to hug the edge.
If "nature calls", check your immediate area THOROUGHLY before you go!
Finally, I cannot recommend taking a personal locator beacon highly enough. If you're out in the wild and the worst happens, be it a snake bite or a broken limb from a fall, no matter whether you have cell coverage or not, your beacon will be able to tell rescuers exactly where you are. Yes they are pricey, but they last for at LEAST half a decade or more. I find the peace of mind they give me well worth it. As long as I'm carrying my beacon, I can really get into the adventure without worrying so much about the what ifs.