You can have a college of this standard, but the best NITs and core branches such as CSE or ECE might not be available in the open category. But the newer NITs, IIITs, or GFTIs with less competitive streams such as civil, metallurgy, or production provide opportunities, particularly in spot or special rounds.
Attempt home state counseling with better cutoffs. State and private engineering colleges consider this rank. Complete a few options in JoSAA and remain flexible. You can get into a good college but may not get the top branch.
For detail of different colleges, you can check out Collegedunia’s Page