Hey there as per your rank in jee mains you can go for following nits for any branch except cs, IT, and ENTc -

1.  NIT raipur

2. NIT hamirpur

3. NIT manipur

4. NIT Sikkim

5. NIT durgapur

6. MNNIT allahabad

Above nits ranking are on basis of other state quota to check cutoff of nits colleges branchwise you can visit the link

https://engineering.careers360.com

All the best!!

Hi there,
Hope you are doing well,
With 6000 SC Category rank in JEE Mains, you can go for following branches in NITs:-

• NIT Sikkim/ Silchar/ Manipur:- ECE
• IIEST Shibpur/ NIT Raipur:- Mining
• NIT Durgapur:- Metallurgical
• NIT Sikkim:- EEE

Hope it would help.
Thank You