CA is highly extensive course and almost consumes lot of time and effort and Hence, MBA can be a good option to match financial skillsets but definitely not the best.
Instead he should go for CFA Certification post CA.

For BBA plus MBA,
This has been dream combination as both have complete exposure to management studies and adminstration of business.
After BBA, candidates are posied well enough to choose Specialization of their choices viz. Marketing, Finance, Retail, Tourism, International Business, human resources.

Hence, BBA plus MBA makes great sense.
And CA plus CFa will make better sense.