Dear aspirant, you can get good colleges for your KCET rank you may get non-circuit branches in RV College, BMS Colleges, New Horizon College, BIT, DSCE, Vidyavardhaka College etc. 

For more colleges go through below links. https://dqxeclau.top/kcet-college-predictor

https://engineering.careers360.com/articles/kcet-cutoff/amp

For your JEE Mains rank you cannot get NITs or IIITs but you ca apply for Private Engineering Colleges which accepts JEE Mains and gives seat under B Category.  Below link gives you colleges list which accepts JEE Mains percentile. 

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india-accepting-jee-main

Good Luck.