You had a late night in the Big Apple, and now you feel rotten to the core. The Metropolitan Hotel has a cure for what ails you with its “I Will Survive” menu, an extensive list of fat-laden hangover food. Triple cheeseburgers with bacon, Metro mac & cheese, buttery scrambled eggs, cold pizza sandwiches — these and other time-honored remedies are served in the hotel restaurant, with a side of aspirin, of course. And should you need a nap, room rates start at $229. (212) 752-7000,