Instead of asking people here, I would go back to the school(s) that rejected you and ask for a specific reason why you were rejected (if we're indeed talking, in a round about sort of way, you or someone you know).
It's true that many of these schools admit a lot of people. And, it would kinda suck to get rejected from one of them. But, have some solace in knowing that a large percentage (far higher than U.S. MD or DO schools) of matriculants never make it through the program either. So, just because someone gets in doesn't mean they are going to stay in and be successful in the program.
I would warn against going to schools other than the ones you list in your OP, because I can tell you right now (going through interviews myself) that it does matter where you go to medical school, even the Caribbean ones. If you are already certain that you'd be happy as a Family Practice doctor or another less-competitive residency, it won't matter much. But, you need to come from a known school with a solid reputation and have strong board scores to get looks at competitive residency programs.
Don't give up. Find out what is lacking in your app, and then re-apply. At least at Ross, there are three classes that start per year. Often applying for a May-starting class gives you a much better chance of getting a spot. If the school really believes that you are too "risky" to take a chance on, try to find out why and then see if you can work on giving them to give you a shot.
-Skip