Don't know any freebies, but Lincoln Harbor, on the Jersey side is good. Ruth's Chris', Houlihans and a weekday food court is across the street. Seafood and Sheraton hotel equal distant either side.
Minutes from NJ Light Rail that will take you to the subway, or the water ferry is between the marina and the Hotel.
Liberty City has nice facilities, and perhaps more restaraunts and shopping.
All the best, and enjoy the big apple,
Find John's Pizza and Juniors Cheesecake as they are the best of the city...hands down