Dear Jairaj,

BITSAT is one of the top most private college for B.Tech and offers good placements and teaching.

Yes, it's fee structure is high but it also offers scholarships to the students or else you can go for a loan.

You can check the scholarships below for BITSAT

http://www.bits-pilani.ac.in/uploads/Scholarships_Concessions_BPDC_2012-13.pdf

To check the fee structure you can refer below

https://engineering.careers360.com/articles/bitsat-fee-structure

If you want you should try to get into IITs and top NITs first as the competition level is very high so you should prepare accordingly.

Good Luck!!