Hello

I wish you had told me your rank and your category rank. However I would try to suggest on the basis of previous year statistics which might vary this year as the paper was reported to be realtively easier. 

According to previous year records you might have got a good government college with a score of even 180 but since the paper was easier this year the cutoff is expected to increase by 15 marks give  or take which makes it slightly difficult for yoy. If i was in your place I would have applied for counselling. It is sure that you will get a decent government bds college with your marks under your category.

I would like you to try our college predictor  https://medicine.careers360.com/neet-college-predictor  for a clearer idea.  All the best.