Hello Aspirant! With this rank it's nearly impossible for you to get any NIT/IIIT or GFTI in any branch. You can try in other state level counsellings where you can get a lower branch.

You can get into better private colleges through management quota or direct admission in your desired branch. Some of them are:
MIT, Manipal
UPES, Dehradun
LPU
Thapar University
etc.
You can use this link to predict your college:
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp