AA has been known to comp, though they are supposed to suggest a Challenge first. The persistence with which they push them varies with the person you talk to.

If AA would be best for you, try calling again to reach other reps, but not bugging them to where they put a note in your file that the next person you talk to will see. Also, if you have a travel agent or corporate travel coordinator who has an AA sales rep, he or she can probably make it happen.

The most you'll get is Platinum, though you should get that. AA doesn't comp EXP on the basis of competitive status.