ICSI Delhi - Institute of Company Secretaries of India

It is a very good combination. CS consist majorly laws related to companies, ROX, SEBI and taxation and a company need a very good pleader and drafter. With LLB degree, you polish your both the skills by visiting various courts, moot court, etc.
With a BBA degree from a good institute or a BBA + LLB from institutes like Symbiosis or National Law University helps in communication and business understanding.

In your case, you want to do 3 things at a time and for this I would personally suggest that you should continue with your CS and take part time courses along with that provides you with certificate and degree.

you can go for weekend MBA option from ggsipu as it will upgrade your expertise in specific area of your choice.