Depends on where you are in the NY Finger Lakes region. I live in Canandaigua. Seems to me that Hi Tor is pretty good down in Naples. I see lots of deer there. A little known fact is that Yates County produces more deer per square mile than any other county in the state. Most people look at total deer, and forget that Yates is small in square miles.
I've always wanted to hunt the Finger Lakes National Forest south of Ovid. I'll bet its pretty good, but I don't need to drive that far. On the north of that, it butts against farm fields. The "forest" contains much grazing land. That area is pretty flat. Then, as you go south, there are some hills. Again they border on farm land toward Seneca Lake. I always thought those hills would be good to catch deer returning to sleep after eating at night in farmer fields.
I ruined two cars over the years: the first south of Honeoye which is now all public. The second was ruined just two years ago near Sampson State park. I'm pretty sure there was deer hair in the metal ( ). Anyway, you can hunt there also.
Hope that helps.
PM me if you want to talk further.