I have an unusual plan for spending a Sunday night in Manhattan -- I'll be busy until 11pm or so, and my flight leaves at 6am from Newark. This means I'll likely have to leave Manhattan by 3am at the latest if I want to get there on time via public transportation.

Rather than spend a lot of money for a night at a hotel/AirBnB for just 2-3 hours of sleep, I was planning to find a movie theater with a near-midnight showing and nice seats, get a ticket for the most boring movie that is showing, put some earplugs and blinders on, and then snooze for a few hours. If I have trouble sleeping, at least I can kill a few hours watching a movie.

I'm not sure how much of this is a travel question -- the intention is certainly travel related, but perhaps this might be better on a different StackExchange (let me know if this is the case). I was hoping some of the Manhattan locals could give me some insight on this matter. In particular, I would like to know:

1. Are there any theaters with late night showings and nice premium seats (reclining and/or comfortable)? I've found that seating quality can vary significantly from theater to theater, and some local insight on which theaters have the best seats would be good.
2. Would these theaters mind if I had a backpack and a small tote bag on me? That's all the luggage I have -- I'm just not sure what policy theaters have about how much stuff you can bring into a theater since I've never tried.

Alternatively, if someone has a better idea for how I could try to sleep for a few hours in a comfortable and safe environment, that would be good too. A premium movie ticket should run ~$20, and I don't really want to spend more money than that. Perhaps there are cheap and safe hostels but I've always had a negative view of hostels... (EDIT: Also, the sound of someone else snoring really bothers me when I'm trying to sleep. I'd much rather have background movie noise than someone snoring.)