For the first time, its YOU who gets to decide what you should do.
If you like art, then get involved in art. Don't wait for someone to tell you its ok. Come up with a plan and do it.
But, hedge your bets, not only for you but to please your family, ie get a hard degree, add in some art, pay off your debt - or do not take any on, and then do what YOU want to do.
There are lots of design firms, web firms, industrial design firms, and so on. Go to a design conference. If you cannot pay, then sneak in - crash it. Browse the U and public libraries.
Its ok to live ambiguously. Life does not have to be 100% programmed.
There are a ton of artsy folks who have no hard skills.
And on second thought, an MFA will open as many doors for you as an MBA. Google MFA and business demand.
Check this out.
http://art-design.umich.edu/programs/graduate/mfa_mba