I got into the Universities of Washington & Wisconsin OOS. Research the schools & read their websites. Try to find people that go to those schools & ask them questions. Many state schools have particular things they look for in their OOS applicants. Sometimes it's diversity or serious demonstrated commitment to medicine for the underserved. Some schools are picking out people that are likely to be research hotshots. There is usually something they are after, you just need to know what it is, and decide whether to apply based on whether you fit into that.
In general, having stats that are higher than the school median is always helpful. I had a 34 and got in off the waitlist at UW, whose median I think is 32. I don't have MSAR access anymore.