Vv, you can take admission in private colleges in Kerala via KEAM. Many private colleges there accept admission through KEAM. Some of the top private colleges being:-

• TKM College of Engineering, Kollam
• Rajagiri School of Engineering and Technology, Kochi
• Mar Athanasius College of Engineering, Kothamangalam
• TKM Institute of Technology, Kollam
• MES College of Engineering, Malappuram

For more information, you can refer to :-  https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-kerala-accepting-keam

Feel free to ask if you have any more queries.

Hope this helps!

All the best!