That's not an easy question to answer. There are many variables, but options (IMO) for the average student who will end up as an average earning general dentist are-- go to a reasonably priced school, have someone else foot the bill (HPSP, NHSC, IHS, etc), or go to the expensive school but understand the full ramifications. Paying off that kind of debt is going to be a serious struggle for a LONG time, at some point it just isn't worth it. This can be said for any profession, there is always a financial breaking point. Plug in your expected loan into a loan calculator and look at the monthly payback. Also, i wouldn't depend on the IBR/PAYE for loan forgiveness. Most practicing dentists (look around at dental town) say that $250-300k is the MAXIMUM amount of loans one should take out for dental school. Now there will be always the top x% that absolutely kill it and $500k will be no problem, but chances are this will not be you (rhetorically speaking).
Summary: I would rather spend an extra year boosting my app and pay ~$250k less for dental school. It makes everything way easier in the future.
PS I am not trying to personally discourage you rendal, I am just explaining my opinion. Congrats on your acceptance to NYU.