Dear applicant with 387 score and being a SC candidate you stand at a point to get admission in private colleges. However you need to follow subsequent rounds of counselling for your seat, to get an idea of which college you would choose, use our NEET UG College Predictor to predict the best colleges with your rank.

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

By using the college predictor you would get knowledge regarding your college options, private or government (if any).

Good luck!!