I wasn’t sure which way I would go so I got dual degrees in Biology/Chemistry and in Fine Arts/Painting. One thing I found out, however, is that my spiffy Biology degree left me unprepared to get a health care job of any sort, including lab tech, because I hadn’t taken certain laboratory technique classes.
I suggest you figure out which specific health area you are interested in studying and at which school, and then take the necessary undergrad courses at a junior college (it is cheaper there) before applying. That would both fulfill some of the requirements and help convince the graduate faculty that you are truly interested in the field.
On another note, my cousin made a nice career out of music therapy. She was a voice major.