Hey Harsh Srivatsava

Here are a few Governmen colleges offering B.A LLB integrated:

• Indian Law Society Law College, Pune
• National Law Uinveristy, Delhi
• Faculty of Law, Osmania Univerrsity
• Faculty of Law, University of Calcutta
• NALSAR Law University, Hyderabad
• Army Institute of Law

you can get into these through CLAT, LSAT.

hope this helped

all the best

Hello Harsh

There are many good government colleges for LAW in India-

• National Law School Of India University,Bangalore
• National Law University,Delhi
• Faculty  Of Law,Delhi University,Delhi
• NALSAR Law University,Hyderabad
• Maharashtra National Law University,Mumbai

These are some top colleges for BA.LLB in India.

Hope This Helps

Best Of Luck!