Hi

Well, your rank is quiet high. You have low chances to get NIT. Do not expect to get really trending branches. Also, you can get NITs in the North East under Home State Quota. Or you can look for Central Indian NITs, where you might get the last branches (high cutoff).

You can always check the same about NITs Cutoff for Top B.Tech Branches in a greater detail through this link: https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches .

Best of Luck.

Hope this helps.

Cheers!