I should be biased as I've got the MBA already, but really I would not think there would be much difference between a BBA and an MBA, unless you're looking at senior hospital administration in which case the "M" looks more impressive to a potential board of directors than a "B".
I'd suggest you look at this more as what you can do, rather than what someone will give you -- example is that in meeting a top healthcare think tank person recently, this person was interested in my business experiences over the past few years primarily; my degree was really secondary to the experiences. The person, in considering my working with the think tank, was mostly looking at what I could prove that I could do for them -- go that route, and the degree that you've got will not hold you back.(presuming that may be your concern?)