Here, I'm providing the last year i.e NEET 2019 All India category wise cut off under AIPVT counselling:-

Category   NEET Score

UR               514

UR PH         124

OBC             513

ST                 401

SC                 408

For BHMS, you need to apply for AYUSH counselling conducted by AACCC (Ayush Admission Central Counselling Committee). The cut off of which is around 480 for General category.

With a score of 366, you have very little chance of getting admission into a Government College. Register for the Counselling process and wait till the Mop up round or opt for  Private Colleges instead.

For more information on expected colleges you can get on the basis of your NEET score, use this college predictor tool.

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

Good Luck!