Hello, hope you are safe and doing good.

Here are the private colleges of TN offering B.Sc agriculture and having ICAR affiliation-

1. Adhiparasakthi Agricultural College,
2. Adhiyamaan College of Agriculture and Research,
3. College of Agricultural Technology, Kullapuram
4. Don Bosco College of Agriculture, Takkolam
5. Imayam Institute of Agricultural Technology, Kannanur
6. J.K.K.Munirajah College of Agricultural Science, TN
7. JSA College of Agriculture and Technology,
8. Krishna College of Agriculture and Technology
9. Kumaraguru Institute of Agriculture, Sakthi Nagar,
10. Nammazhvar College of Agriculture and Technology, Peraiyur
11. PGP College of Agricultural Science, Palani Nagar,
12. RVS Agricultural College, Thanjavur
13. S. Thangapazham Agricultural College (STAC), Vasudevanallur
14. Sethu Bhaskara Agricultural College and Research Foundation
15. SRS Institute of Agriculture and Technology,
16. Thanthai Roever Institute of Agriculture and Rural Development
17. Institute of Agriculture, Manakkadavu,
18. Indian Agricultural College, Raja Nagar,
19. Nalanda College of Agriculture, Nedungur,

I will attach a link, which leads to a webpage that contains a list of all ICAR colleges in TamilNadu. The link is

http://icarcolleges.in/newsite/tamil-nadu/

Hope it helps! Thank you.