NIT

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
To know about this, you can go through the college predictor link I am sharing.
Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please go through this link to clear your query you will get idea here about the college you can get.
Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
This is college predictor link here you can get idea about the college you will get.
Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Here is the college predictor link you can go through this link to know what college you will get. Good luck.

Check 2017's closing ranks in special round and then you may get an idea.

You have very low chances of getting an NIT as per your marks. According to your marks, you should appear for advanced exam. Chances will increase if you clear the advanced exam.

Hello,
I hope you are doing well. State rank will be calculated by your state counselling authority of JEE Mains based on that you will be able to go for NIT. You will definitely get a seat in NIT Karnataka along with your favourite branch.
All The Best.

Top NITs rank-wise are mentioned below:
National Institute of Technology (NIT), Tiruchirappalli
Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat
Visvesvaraya National Institute of Technology (VNIT), Nagpur
National Institute of Technology (NIT), Rourkela
National Institute of Technology (NIT), Surathkal
Motilal Nehru National Institute of Technology (MNNIT), Allahabad
National Institute of Technology (NIT), Warangal
National Institute of Technology (NIT), Durgapur
National Institute of Technology (NIT), Calicut
Malviya National Institute of Technology (MNIT), Jaipur
Regards.

You may get that NIT after all its dependent on counceiling. It's my personally suggestion go for counceiling round. And if you want check possibilities that what would you get on behalf of this rank go to the Shiksha's own college predictor.