No heat... why freeze? Pick another hotel!
It's 39F outside in New York today, and the front desk tells me it's so mild outside that the hotel does not have heat turned on in the hotel. It's 64F in the room and there is no heat. Why should someone pay for a hotel that doesn't provide heat? They are sending up a space heater for the room, but that seems ridiculous for such a well rated hotel to provide no heat in the middle of February. 
It is February 24th and there is no heat on in this hotel and the front desk seems to think it is ridiculous for heat to be turned on in the hotel at this time of year. 
AVOID this hotel and call and make sure there is heat at whichever one you choose to stay at.