Stuck in NYC for 26 hours, what do I do?

Had a friend book my travel and they messed up the dates so I leave NYC a day later than my lease ends and I'm going to Chicago with two 50lb suitcases so I'd rather stay in Manhattan or leave them somewhere, I have a really tight budget (less than 250) cause everything else went/is gonna go into my Chicago trip.

Kinda stressed and was hoping people had ideas for stuff I could do near Penn Station for 26 hours, also open ig to any budget hotels, airbnb, spas, etc for a quick nap or smth. All my friends live in the outer boroughs so staying w them would be a challenge in terms of my luggage but any insights would be useful.