Dear aspirant

Your rank would nearly 4k according to last year all india rank for neet.

Govt colleges allotted around this rank in AIQ counseling quota for Gen category students in mop up round were

Bangalore Medical College and Research Institute

GRANT MEDICAL COLL & SIR J.J.HOSP,MUMBAI

MEDICAL COLLEGE, BARODA

AIIMS, raebareli

AIIMS, kalyani

Pt. D.D.U MEDICAL COLLEGE, RAJKOT

Jawaharlal Nehru Medical College, AMU,ALIGARH

JIPMER KARAIKAL

TOPIWALA NATIONAl medical COLLEGE ,MUMBAi

Govt institute of Medcial Sciences, GREATER NOIDA

You can choose any of the above mentioned college as they are some of the best college in their respective States.

Also you will get topmost govt medical College in your state quota counseling in west bengal so you might consider that also as its better to stay in your familiar places. Other places you might faces language issue which may sometimes interfere in interacting patients.

Predict your admission chances in MBBS / BDS / Ayush seats,use our neet college predictor tool from link below

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

Hope this was informative for you

All the best