I think you should take admission through your UPSEE rank , because of the variety of colleges , and with your OS rank you will get a great college under UPTU/AKTU.

I am giving a link of UPSEE cutoffs of previous years

Which contains

Category wise UPSEE minimum qualifying percentage

Past Years UPSEE Cutoffs which further includes year wise cutoffs , course wise cutoffs , and college wise cutoffs.

This will help you find a suitable college according to your rank!

https://www.google.co.in/amp/s/engineering.careers360.com/articles/upsee-cutoff%3famp

and try this college predictor.

https://engineering.careers360.com/articles/upsee-college-predictor?amp

Good luck and keep asking!!