Hello candidate,
With your mentioned rank you have a slim chance of getting non core branches at the newer NITs (NIT Uttarakhand, NIT Goa, NIT Arunachal, NIT Nagaland, NIT Meghalaya, NIT Delhi etc) with your category rank. And with domicile quota you might get core branches as well.
You can use the college predictor tool available on our website to predict which colleges you can get , link :https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor
all the best :)