Assuming youre from General Category, with 95.5 Percentile, youll have a CRL anywhere between 49-51k in JEE Main. You have negligible chances in securing a seat at any NIT or IIIT at this Rank in JoSAA Counselling. You may check with your Home State NIT or GFTI Cutoffs, but I believe youll have low chances even there.

Of course if you have certain Categorical Advantage, youll have Options among NIT and IIITs. You should even consider your State Engineering Colleges, accepting JEE Main Scorecard for Admission and Counselling Purposes. At this Rank, youll have fair chances of securing a seat in some of the Good branches, at one of the better State Engineering Institutions.

For more infornation and college prediction do follow the link below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer