B.V.Sc seats are filled through 15% All India Counselling alone. For the seats in the States, you have to write the State specific entrance exams like TS EAMCET, AP EAMCET, RPVT etc. There are only 550 seats available for B.V.Sc through NEET and so you will need more than 550 in NEET no matter what Category you might belong to. Here is the link of NEET college predictor;

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