"Two Words: Status Match"

Three words. You can't. AA doesn't status match. You can challenge based on your travel. That said, if you get hold of anyone of value at any airline and you tell them that you fly 350K EQM alone on full fare tickets, they will want your business. If you manage to get hold of anyone in power at AA and show them proof of the insane amount of travel you do, they will surely give you something.