Hey there

Youhave scored good but you have less chances of getting government colleges. As you have mentioned about private colleges then these are Some of the good colleges you can get 

1. Azeezia medical College meeyannoor. Previous year cutoff was 481.

2. Sree gokulam medical College, venjaramoodu. Previous year cutoff was 482.

Check neet Kerela cutoff

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cutoff-kerala/amp&ved=2ahUKEwjAvaP7jNLiAhUC7HMBHbyTBIoQFjABegQIAxAB&usg=AOvVaw3kiMRCLZvRpg83tmHIVcNz&ampcf=1

Check our college predictor

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-college-predictor/amp&ved=2ahUKEwi-mPDZjdLiAhWzheYKHajNCG8QFjAAegQIBRAB&usg=AOvVaw38Pe-X19VLTTS6dO4yyLxi&ampcf=1

Good luck