Before becoming disheartened consider that there are not that many minority applicants out there for ortho. I did not run into anywhere that it seemed to make a difference one way or another (helped or hurt you). There are several prominent orthopods who are minorities (if by that you mean not white, so asian, indian, black, etc). I believe the next president of the Academy is black. There are several other prominent names in ortho that I can give you who are not white, so no, I dont think it should have a prominent role in your program selection.
Not to be stereotypical, but if you were to encounter any "issues" odds are it would be in the southeast but I have no facts to back that up.