You can also go to http://www.travelstoremaker.com/home/?
Check Advanced Flight Search then on the left side before you get to continue, you will get "fares" If you check that, it will indicate all the fare classes, and the prices. With that information you can book on AA, then call the desk and they will change the fare class and you still get the booking bonus. On the other hand, some people feel that if you use the information on travelstoremaker, you should book through them. I believe they charge $30.