Hello there,
With the quoted details there are very less chances of yours getting a good NIT with your desired stream, Except if you are having NIT in your home state.

For detailed analysis you can check out cutoff for various NIT's from the link given below-
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

You can also predict your future college on basis of jee main score using the link given below-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope this helps.
Regards
Madhur

You should have mentioned your home state too. However as per previous years' cutoff you may get following NITs.

1. NIT Bhopal
2. NIT Calicut
3. NIT Jaipur
4. NIT Durgapur
5. NIT Goa
6. NIT Manipur
7. NIT Silchar
8. NIT Nagalanad
9. NIT Arunachalpradesh
10. NIT Mizoram

However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.

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

All the best

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