Hello Piyush!

I personally feel you should go for an IIT. If you are too determined for CSE then you can try for NIT trichy CSE or NIT surathkal CSE but nothing other than that. However, if you get seat in old IITs and an okayish branch then you should go for it. Keep your first preference as IIT.

Hello Aspirant,

Congratulations

your rank is very good and definitely you will get any nits or iiits of top rated, 

With a descent branch.

I will suggest, if you are getting an iit, take it,

Because the rank you got, either you will get a medium iit or good nit.

But the tag of iit matters, and you will realize it.

So go for iit.

Do visit the above link for the probable colleges that you can get according to your rank which is based on previous years trends.

Link::-----https://engineering.careers360.com/jee-main-college-predictor?icn=JEE_Main_clgpd&ici=JEE_Main_article_view_sticky

Hope it helped you ,

Any more queries, please do comment 

Good luck....!!!