Visit our firehouse angel. I might still have the contact info for the firehouse's captain.
Winter is the wrong time for outside stuff. If you insist on doing outside stuff, take a walk along one of the ritzy shopping streets like Fifth Avenue.
Since you're going to be there on a Wednesday, consider going to a Broadway show matinee. Cheap(er) tickets are available the day of the show from Tickets/tickets (not spelled right) or the hotel might have a broker.
Reconsider museums!!!!!!!!!!!!!!