Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
You don't need an AAdvantage number to check award-seat availability on aa.com. Just check the "Use AAdvantage miles" box on the search engine that appears on the left side of the aa.com homepage.
I suggest that you do one-way searches, as there might be SAAver availability in one direction, but not the other.