BBA

For BBA, you do not need mathematics. You may check with Bharati Vidyapeeth. Do not opt for Amity as its fee is higher and quality is not up to the mark.

You may refer to the following link to have an idea about the fee of 5-years integrated law degree at NLU, Bangalore: https://www.nls.ac.in/index.php?option=com_content&view=article&id=43&Itemid=28. Other NLUs will have a similar fee structure.

In Bhubaneswar, most recognised and valuable are KIIT and the alternate option is Xavier's Institute of Management.

Dear,
If you have an aim for management level profile and good growth then BBA will be a better choice because through that, you will get knowledge, skills and opportunities. You will get knowledge of management studies, financial planning, marketing strategy, etc.
All the best.

Of course, the institute and course both are good enough. It's basically a short cut to an IIM and is thus a considerable option. The IPMers in their 4th and 5th year get merged with the PGP batch and thus gets same facilities, professors and exposure. Initially, recruiters weren't willing to take in IPM participants but now their acceptance has greatly increased. Frankly, IPM is not BBA+MBA but just IPM, in which it's optional to do undergraduate from IGNOU alongside, concurrently.

IIM Eligibility -: The candidate must hold a Bachelor's degree (could be any). So, BBA is not compulsory.

As of date, you do not have competitive spirit to excel, therefore, I advise you to have confidence in your abilities to succeed in any chosen task and field. You are advised to opt for integrated MBA program as it has more scope and opportunities in comparison to law.