Hello aspirant..

You have pretty good rank, you have the chance of good government colleges then why go to private colleges you have the chance of getting:

NIT Durgapur,

NIT trichy

IIITDM jabalpur.

and many more for more colleges you can visit our below link for colleges name, cutoff and many more information:

https://engineering.careers360.com/articles/jee-main-cutoff

and use our college predictor for jee main https://engineering.careers360.com/jee-main-college-predictor

All the best.....