I'm not in that area, but Edison Parkfast seems to have various locations and charging--no idea what they're like for overnight parking charges or EV charging fees.
Tesla's Paramus store has a HPWC that Model S owners can use, according to Tesla's site. It's half an hour north of Jersey City; you could hit it on your way back, if you have time (probably not overnight, sorry).
But if you're going back up north to Milford and Boston, it's just under 80 miles each way, I think--just top off at Milford again instead--it'd be much faster. The round trip to Jersey city from Milford is similar to the Milford to Boston trip one-way.
Good luck, whatever you find/do.