Just a note. On my third call the rep was able to find availability and book the ticket no problem.
I asked him why he was able to see it right away and some other reps can't, and this is what he told me. (It may be true, it may not, so take it as it is) - He told me that "he was searching for all One-World partners not just AA, and that the other reps were just searching for AA and thats why it wasn't showing up."
Again, this may or may not be true, but next time you call you can ask if they are searching all of One World or only AA. I know for a matter of fact that the first rep was only searching for AA and it wasn't showing up.