Law or no law, my concealed weapon permits (unrestricted) for New York State and New York City allow me to carry concealed except in certain areas. I have never has a Police Officer or Game Warden question me about having a pistol out in the open when in the woods with a valid hunting license on my back. No, it is not a Hunting Pistol Permit, just a way to have it available quickly while hunting, though I no longer do that either.
I did not mean for my post to sound like, you can carry while hunting without a concealed weapon permit or with just a possession permit. New York State permits (Not New York City) are regulated by county. Some counties have an additional "Sportsman" permit, that in THAT county only allows carry to and from a range or while hunting. That might not be the case in your county in Up State New York but it is in at least Nassau, Suffolk and Westchester Counties. There are a couple of ranges that are open 24 hours a day and are at the ends of counties. Join and you can say you are headed to the range any time. One of the permit expediters on Long Island sells the memberships with their expediting fee.
It is interesting how the counties differ in acquiring new handguns too. When I lived in Rockland County, I had to buy a gun without taking possession, take the invoice to the judge in New City, the county seat, and have it added to my permit before I could pick it up. Since I was always the dealer, it was easy.
In Suffolk county where I have a residence, you go to the Sheriffs Department, pay $5.00 per Voucher (Last time I was there I got 8 vouchers at once without issue) and then go buy what ever pistol you want. The dealer fills out their part and keeps one copy, you bring the gun(s) and voucher(s) back to the Sheriffs department, they check the gun against the paperwork and recut your permit with the new gun(s) listed.
I have had some interesting conversations with State Police officers. Those that I know upstate (Around Glens Falls) thought that if they find you with a pistol and it is not listed on your permit they can arrest you, but did not know you were ok as long as you had a valid voucher from your home county, where used, in your possession with the gun. I have purchased handguns upstate with a Long Island Voucher and then have to drive home before getting them added to my permits.
Bob