Hey dear, if you see the last year's cutoff which went very high that even students getting 500 marks were unable to get govt. College. So,with 266 marks it seems a bit tough for getting a good bams govt. College. Although, you can try for average college by attending counselling. You can also use college predictor through this link:

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