For starters, start looking for jobs at gun shops, you'll get to handle a lot of different firearms, if the shop has a range, you can get to shoot a lot of guns (testing out used guns etc) as well as possibly getting into doing minor parts swaps (sights, scopes etc.) and get some experience as a range officer. Start taking NRA classes. Start with the shooting classes, take the range safety officer class etc. Start looking for armorers courses. In NY you have Kimber and Remington, start asking about any kind of internships. Of course there is always gunsmith school. Engineering is another beneficial field for gun work. What are you currently going to school for?
For firearms training in general in your area, take a look at the following:
Firearm safety, concealed carry, police and military training, executive protection
Rochester Personal Defense - SafeInRochester.com, Self Defense Classes, Firearms Training in Rochester New York
There's tons of firearms manufactures in New England, so you shouldn't have to travel far.