Hello Sarthak.

With 91.33 percentile, your probable general rank shall be around 90,530-1,00,530. And your probable category rank shall be around 26,825-30,825.

So, the best private colleges for BTech are :

BITS : it has it's own entrance exam.

BIT, Mesra : although it gives admission on the basis of JEE Mains only, but getting admission with your rank is difficult.

ViT : VIT also has it's own entrance exam.

IIIT Hyderabad : this college also gives admission on the basis of JEE mains ranks, but your rank is quite low to get it.

According to me, it'll be difficult for you to get into top private college through JEE Mains with your rank. You should try for the colleges which have their own entrance exams.

Hope this helps!