I am sorry to inform you that there are little to no chances of you getting NITs or other mentioned iit and iiiII with this score. You might get lower NITs but not the tier1 or 2 ones. And even if you get then branch selcectio would not be in your hands.
You can check what all colleges you might get with this rank through the following link.
https://engineering.careers360.com/jee-main-college-predictor
Hope this helps. All the best.

Dear aspirant,

Top NITs usually get filled up and a few seats are available of the CSAB rounds, how ever there are a good amount of NITs that have a lot of xeats open till the end of the csab round as a result, i suggest you to quickly fill the forms for the csab round and wait for the allotment, At your rank based on previous year trends, you should be able to get a IIIT easily with lesser known Nits available for streams like manufacturing, paint etc etc