So, I've decided to change my routing to this (paused at DFW currently):

AMM-xDOH-xORD-AUS-JFK-LAX-xDFW-PDX-DFW-ICN-KUL-NRT-CMB-PVG-DOH-CPT-DOH

On the phone with AA RTW desk yesterday they told me that having a stopover in DOH (bolded above) is not allowed and that I can only transit through there. I've looked over the fare rules and I can't see what rule it might be violating. I haven't had any stopovers in the continent of origin yet, since the first DOH was a transit without stopover. Any ideas? Having a stopover there would really help out.