Hi Madonna, I can assure you I know a lot of doctors in the USA who are DO and went to Ross University in the Carribbeans/Florida. The key is doing well on your boards (USMLE) and getting into your residency in the US...then your life as a doctor is set.
If you're Canadian, I think its smarter to go through the Irish route because I don't know many Canadian doctors who were able to open practices successfully with a DO or Carribbean degree. I think Canadians are more biased to the Europeans in the UK area as well because of the British influence. There are a lot of DOs and Carribean MDs practicing in American hospitals I've encountered but I've never seen one in Canadian hospitals.
Take home message is...since you're American, I think all 3 options are great. I should add though, if your goal is to become a specialist that everybody wants like Plastic Surgery (BIG bucks), Anesthesiology (easy work...sit around most of the time during surgery), Orthopedics (sports injury fun stuff), Dermatology (big bucks not too hard), ENT, radiation oncologist (treat cancer patients...very fulfilling but very limited spots available), then I suggest you stick to the North American MD schools. If you don't really care and wouldn't mind family medicine, pathology (lots of lab stuff, dead people, microscope), internal medicine, pediatrics (babies!), psychiatry, then it really doesn't matter where you go. A lot of the less competitive medical students end up in these fields unless they selected those as their first choice.