Funhouse8:
Several times we've tried for AP rates and have been told that they were all gone. One CM once told us to keep trying because they do open more, people cancel, etc.
Each time that we've kept calling to check, we did get AP rates. Once, we had AP rates for a regular site but wanted a preferred. I kept calling and on about the 3rd call, I was allowed to book a preferred site.
So, keep calling!!! You'll probably get lucky.
Good luck to you.