Hey Pedma

I am sorry to tell you that it is not possible for you to get any of the IIIT colleges at this rank, as it is a bit too low, even when the category is considered. Indeed you should try for private institutions, some of them give admission on the basis of mains rank, while others have their own criteria of admission. Refer to this link once-https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score

I hope this helps. All the best!!