Not enough information. Where in New York (do you care about borough? is a nearby suburban stay ok for you?)? What rate are you trying to beat?
Did you do a search for New York, NY sorfted by price?
I get as low as $99 per night (no AAA or anything like that tried even!) for Fairfield Inn East Ruthermrd Meadowlands, from where there's a $15 bus to NYC proper. That's why cheaper (with the bus factored in) than staying in NYC proper. But I don't know if that's acceptable to you!
There's a 102 hotels listed in the NYC area, and an LNF search has to be done on one at a time (since you have to compare the third-party rate for each one to the Marriott rate for each one individually). I doubt anyone going to do al that for you without you providing more specifics, when you can just stay in Meadowlands cheaply.
Or what do you think of the Fairfield Inn Queensboro Bridge? That's a great location just across the river from NYC (you can walk across the bridge to midtwn Manhattan if you want, or you're steps away from a subway station, and $159 (again without even trying AAA or anything) seems already like a very good rate for NYC.
https://www.marriott.com/hotels/maps/travel/NYCQN
(That's of course assuming you're
not going to drive and thus park. If you need a location where you can drive from, you would need to specify that, since the assumption for NYC is usually that you're not driving.)