Hello, 

Your rank of 76,500 is not enough for you to secure a decent NIT or IIIT. Talking about Tier-2 NITs, almost all of them closes before even 50k rank considering other states quota and decent branches. I am telling about decent branches because IIIT doesn't even provide decent branches, it provides the most in-demand branch in India. 

You can look into your home state NITs which are the best chance for you if it is a Tier-2 NIT. If you belong to certain states like Punjab, Haryana, etc. Coming to IIITs, you can definitely try for newer IIITs which don't have there permanent campuses like UNA, KOTTAYAM, RANCHI, etc through your chances are not that much great. While you can try for the Northeast IIITs and with special round coming on, you can definitely get a seat in IIITs but I would say you keep other options open too and just don't hang on special rounds specifically which are highly unpredictable so better take college via JoSAA before taking the special round.

Thanks