Long-distance couple looking for a place in NYC to spend some time together

My partner and I live in different states. We are both students and don't have a lot of money. I live in NYC but can't host. So, with the cost of tickets and all it's looking less and less possible. We are looking for an affordable place in New York City for a weekend. Can anyone recommend any specific places/neighborhoods? The most affordable find yet (on Airbnb) was in Jersey, though of course something closer to the city would be ideal. Also, if anyone has alternative resources (to Airbnb) that they could recommend that would be nice too. Thank you!!