In 4000 rank in st category there is very less chances to get good nits but you can get seat in low rank nits like srinagar, meghalaya, etc but after 2 or 3 rounds in counselling. You have to stick in the counselling till last round because who knows you can get nit warangal in the last round, so stay tuned with counselling session.

And if you want to know exact college names that you can get admission in then check out our college predictor tool,

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