hey,

here are the colleges

1. VIT business  school ,vellore  ranked 23

2. hindustan institute of technology and science , chennai rated AA+

3. SRM institute of science and technology , chennai ranked 54

4. MOP vaishnav college for women , chennai rated AA+

5. Karuny school of management , coimbatore rated AAA

6. sri chandrasekharendra saraswathi viswa mahavidyalaya ,kanchipuram

for more colleges you may refer to the link

https://bschool.careers360.com/colleges/list-of-bba-colleges-in-tamil-nadu

all the best!