I think in general OSUdoc08 is right. For sure schools like PCOM, Kirksville, Des Moines, Kansas, etc. are a bit harder to get into. Also keep in mind that some states are more likely to take in-staters (or within a region), even if they're private. I applied late with a very low MCAT score (see my profile) and I got fast interview invites to the following:
WesternU/COMP
WVSOM
LECOM-Erie
TUCOM-NV
TUCOM-CA
Not to say that those are "easy" schools to get into, but obviously they still had slots open, were willing to overlook my MCAT score, and didn't seem to have a residency requirement (although WVSOM does prefer people from that region, so I'm a little confused there). I also applied to UNECOM (too late), Kansas (didn't bother after investigating), NYCOM (too late for out of staters), VCOM, PCOM, AZCOM, and CCOM. I'm not sure about the last 3 I listed, but I'm guessing it's getting too late in the game, and they're competitive enough that they don't need my last minute application to fill any slots. That's just my experience and opinion though.
You never know what might happen until you apply yourself. Good luck!