The time is now. Scouting is a ton easier with snow cover. You can see every spot the deer have been in the past 3 weeks. Deer do different things and eat different things over the course of a year. However, you can judge a general area real good that way.
Best way to hunt these spots is with a Bow. The deer are much less pressured, and the best spots to hunt are generally bow only.
Also, check out the DEC's harvest data along with the DMP "doe tag" permit numbers.
Lots of archery shops in Nassau. They even have an outdoor public range at the big county park on the south end of the wantaugh parkway.
I see more deer with my bow than any other time during the hunting season.
Knowledge is key. People get lucky, folks who just grab a gun and sit in a mature forest with little for the animals to eat, all they got is luck. The guys who drag the deer out know the area by covering it during the offseason.
State parks with bow only, NYCD DEP land, and sterling forest is what I would give a try. I live in Greene and used ot live in Columbia. Public land is tough. DEC land has remained unchanged over many years. DEP lands open to hunting is relatively new and not known as well as state land.
Don't forget municipalities in westchester have deer hunting with a bow.
5 tips. Never tromp the woods, even if you think it's a losing battle to be quiet while you walk. More times than not, I see them on foot than I do waiting for them. Take a few steps then stop to hear. Your ears find them before your eyes usually. The other tip is south facing hills. The deer like to soak up the sun while they nap. 3rd tip deer are primarily browsers. The will hit a spot of acorns, but they also feed quite a bit on low lying branches of small trees and shrubs. They generally wander around to eat. They have trails, they have spots they like, but generally they are random. 4th tip, go for variety where you hunt. Transition areas between brush and field, brush and mature hardwoods have always been good for me. 5th tips, know how to shoot. There is no shooting benches in the woods. Practice how you will shoot. Standing up, leaning against a tree, sitting down, kneeling. Also, research the shot. First timers generally do not know where you should shoot a deer.