Hello,

Yes participate in state counselling.

According to your score and category it's hard for government college. The private college score is also high but if you're willing you can ho through management quota.

As for bams you require minimum 350 marks to get any government college. With your marks you can get private college.But you can try for government and semi government colleges in state quota as cutoff changes each year.

You can get veterinary college in between 300 to 400 marks range it maybe government or private.

For predicting your college according to your marks use college predictor tool given below:

https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope it helps. Best of luck!