Any idea of which weekend you are looking at? I live in a really nice 2 bedroom on the 42nd floor of a high rise, 1 block from Central Park and behind the Time Warner Center. 59th and Columbus. Walking distance to Times Square, Bloomingdales, Theater, etc. My daughter has a bunk bed with a trundle (so sleeps 3), my room is a king. I'm considering renting out my apartment to supplement my rent. Which, by the way, would make you faint, omg. LOL!
Just a thought, it may be a great option. I've never rented it out, but I have friends who do it all the time.
If anything, if you need any help planning your visit, don't hesitate to send me a message, I've lived here 17 years and have a 6 year old.
***and look into the hotel Ink48. It's a Kimpton hotel. Reasonable room rates and it's a sceney cool hip hotel. Ive eaten, had drinks, and stayed here many nights. Very reasonable. Near the Intrepid (war ship museum). It's far west, but in a cool area and walking distance to Times Square. In good weather, there's an awesome rooftop lounge/bar/casual hangout.