If you got 359 marks in the NEET, then you have very less chances of getting any college in Medical field in private as well. The past year trends suggest this fact. Although, if you wish to predict which college you can get, then you can use the career360 NEET college predictor which will provide you a detailed prediction based on the past year statistical trend analysis:

I hope this answer helps. All the very best for your future endeavors!