HI Aspirant!

Congratulations on your JEE Rank.According to previous year cutoffs and trends the maximum rank under the SC category and other state quota from which one can get into NIT is around 7500-8300 but your rank is far from that range hence it would be impossible to get into any NIT,but you can easily get into NIT with your home state go on below link to check your chances.

However you can go for IIIT or GFTI or even try your luck in CSAB special counseling.

You can follow these Career360's articles for a better understanding of cutoffs.

NIT: https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

IIIT: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

GFTI: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis

Also, you can follow up this Career360's article for more information on CSAB SPECIAL COUNSELLING:

https://engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis

Also don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

HAPPY HUSTLING!