See a bankruptcy attorney asap. And you can probably get a personal loan for the debt, honestly.
Otherwise, as a L, I still don't feel qualified to advise you b/c I'm not lic in NY AND I don't know bankruptcy laws. I do know that child support is not dischargeable but I disagree with the other comment about Ch 7 vs 13 merely b/c you are a physician. Again, I urge you to see a Bkruptyc L asap.
Let us know what they tell you. And have you thought of whether alleging fault -adultery-would help you at all? Just asking...
j-
M: 57 H: 60 M: 35 yrs S30,D28,D19 H off to Alaska 2006 Recon 7/07- 8/08 *2016* X = "ALASKA 2.0" GROUND HOG DAY I File D 10/16 OW DIV 2/26/2018 X marries OW 5/2016
