That is an easy run at 6 kt. If you leave from a mooring in Atlantic Highlands you can get underway with no difficulty before dawn, if necessary, and make Atlantic City before dark. There you can anchor off the Coast Guard.
Running down the Jersey shore through the night is not a bad option either, if you have the right breeze. I like to lay over in City Island (better liberty port) and sail through the night straight to Cape May. It's about a 24 hr run, give or take.
Never sail closer to the wind in degrees than your age