If you really feel the need to travel with a firearm to NY state, I would suggest a lever action, an M1 carbine, or a compliant AR/pre ban AR with either a ten round magazine, or a pre-ban magazine.
Also FYI, in NY state a rifle is considered loaded if you have a loaded magazine in the vehicle. IE, no magazine in the well with nothing in the chamber, and the chamber open, no loaded mag in the back pack, in the trunk, the glove box, next to the rifle…
Basically, and I mean this, if your carrying in NY state for the purpose of self defense, and you don’t have a pistol permit that makes it legal to carry a loaded gun, then I suggest getting comfortable with the your physical body, and your ability to fight without a firearm (not saying that you’re not already, I’m just giving you a heads up). If you want to bring the gun just to stay up on your skills, go to the range, and train in your off time then just remember to load your magazines at the range.