Hello Aspirant! With this rank, it's not possible for you to get any lower NIT. Getting IIIT is also not possible. You may get a lower branch in some GFTI's like Assam University, Tezpur University, Mizoram University but through CSAB round counselling. You may try a lower branch for your home state NIT but chances are moderate to low.

You can try in other top private colleges like:
Thapar University
LPU
KIIT, Bhubaneshwar
Chandigarh University
MIT, Manipal
etc.
You'll get your desired branch in these colleges.

You can also use this link to predict your college:
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp