As per your rank and previous year cutoff, you will have no chance of getting any colleges with this rank. The closing rank of colleges in private college in pyschiatry branch are upto 60k.
You can also go through our college predictor to check if any private colleges you are eligible for through your NEET Score. The link for the college predictor is :
NEET PG 2020 All India & State College Predictor
Know your admission chances for MD/MS/Diploma in All India Quota & State Level Counselings