I wouldn't say you're unique as there are enough healthcare/biotech folks applying to b-schools.
In any case, schools don't count internships as full-time experience. It's your post-college full-time experience that matters. In any case, if you're ready to apply this year, then go for it - the worst that can happen is that you get a chance to reapply next year (and no, your chances aren't lessened as a reapplicant, since reapplicants make up a good chunk of the applicant pool).
If you're looking at biotech/healthcare, then add Duke, Haas and UCLA to that list -- Duke being very strong in healthcare, and Haas/UCLA being in California where there is a lot of biotech/healthcare companies in the region.
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