Most schools like diversity - and being an odd duck can be a good thing. Most admissions officers tend to be quite savvy about picking candidates that would do well in their MBA programs. So while I can not comment on specific schools until I have spoken with you in depth about your background, I can tell you that you will have a shot at most schools with that background (assuming you get a respectable score). How you convert that shot into a score is very much the question of an authentic presentation of your candidacy and the selection of the "right" schools for you.

Hope that helps.