Bio Engineering

Here is the list of top colleges in Karnataka which offers B.Tech in Biotechnology
https://www.shiksha.com/b-tech/colleges/b-tech-in-biotechnology-engineering-colleges-Karnataka

You can check the website and reviews for the same. It will be better to explore the same on your own.

50 K per year is the fee for bio medical engineering.

2 lakhs rupees for the entire course.

Hello Celine,
You may refer the link below to know the colleges for biomedical engineering in Maharashtra :
https://www.shiksha.com/b-tech/colleges/b-tech-in-biomedical-engineering-colleges-Maharashtra.

For students belonging to SC/ST or OBC category, a minimum of 40% marks must be obtained to be eligible for the NEET examination. For students with loco motor disability of Lower Limbs, minimum marks of 45% are required for General-PH. For SC-PH/ST-PH/OBC-PH, a minimum of 40% marks are required. This data is based on 2018 NEET exam. Therefore, you can expect cutoff near to these data.

Your rank in VITEEE is not so good but you can get admission in the courses you have mentioned. 90% of the students who fail to qualify VITEEE lookout for CSE, ECE, IT, mechanical and civil.

I think you should go for B.Tech in Biotechnology. It will be more beneficial.
All the best.

Please refer to the link provided below for a detailed comparison between biotechnology and biomedical engineering, their scope, job prospects, difference in the course and core areas, etc.
https://www.shiksha.com/b-tech/articles/comparison-between-biotechnology-and-biomedical-engineering-blogId-10068