Let College Board find a test center for you?

The test date on 10/7 for SAT II will be my last chance for applying my dream school. However, there’s no seat available now, and the CB wedsite show me “Let College Board find a test center for you”.
Can I count on this?
Will the test center they provide not in my country (I’m from Taiwan)?
What they’ll do if they can’t find a seat for me?