Incidentally, I just had an excellent stay at the nearby Hilton Garden Inn at Tribeca. It had the additional advantage of having the Canal Street subway stop right in front of it.

The only disadvantage I found was it is located on a very small street (York St) and most taxi drivers have never heard of it -- I had to tell them it was located on 6th Avenue, one block below Canal Street.

Those who know me will not be at all surprised to learn that I did not even think of visiting the fitness room but I did enjoy the nearby Dunkin' Donuts (which is open 24/7).