Good morning dear,
First of all congratulations on scoring 97% in 12th. It's huge.

Merit based, direct admission is only taken in Private engineering colleges, without Jee mains.
But, if you are looking for government engineering colleges without Jee, you can appear for entrance exams for such colleges.

But, I suggest you to take a drop, and reexam yourself in JEE.
Still, to know such engineering colleges, you can have a look on https://engineering.careers360.com/colleges/ranking
https://engineering.careers360.com/articles/btech-college-in-india-without-entrance-exam-fees-structure-fsa

Colleges on basis of JEE main score !
https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india-accepting-jee-main

Hope it helps

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