roxy76,
There aren't that many private schools - here are some that I thought of: UoP, Loma Linda, USC, Howard, BU, Harvard, Tufts, Nova, Creighton, NYU, Columbia, Case Western, Temple, and Meharry.
you should get the AADS requirements book if you don't have a copy (or otherwise visit your health professions office if you don't want to buy it). In it you will find how many out-of-staters they take and all the stats you could ever want! Most private schools state on their application that they do not take residency into account, so you are on equal footing as all other applicants.
ricegirl