Hi Aspirant!
Congratulations on your JEE Rank. According to previous year cutoffs and trends it would be impossible for you to get into any NIT,IIIT OR GFTIs as maximum cutoff rank in last round of SC cateogry is around 11,500 and your rank is far from that so you better try your luck in CSAB special counseling. Following are the list of colleges you can get in CSAB .

If we talk about Private Colleges it would  be impossible for me to answer as the spectrum will be wide so you better point out some points for private colleges.

NIT JALANDHAR

NIT BHOPAL

NIT ALLAHABAD

NIT AGARTALA

NIT CALICUT

NIT DURGAPUR

NIT GOA

NIT MEGHALAYA

NIT PATNA

And many more.

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!