Hello Aspirant,

According to the category and rank you have mentioned in the question you cannot get any of the good NITs or IIITs with such branches even in CSAB counselling as per previous year's cut-offs but yes you can get some average NITs or IIITs such as NIT Hamirpur, NIT Meghalaya, IIIT Bhubaneshwar, IIIT Una and so on if you deserves the Home state quota for them otherwise I would suggest you to sit for some state counselling because in some of the state government colleges you can get admission on such ranks.

Note that the cut-offs are bound to change every year depending upon various factors.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!