Bring a ZED fair for the return. I got stuck in Delhi, India a day because the American ticket agents did not know how to list me with a taxes only cabin only jumpseat. A ZED fair would have gotten me out that night. I ended up waiting till Continental had a flight the next day and they thankfully knew how to get me out. You can also try buying a TAXES ONLY eticket from your airline.
If the Delta gate agents don't know how to list you remember to try jumpseating on other legacy carriers. If it's a legacy carrier than press the case that you're allowed to jumpseat. If at all possible intercept he flight crew so they motivate the ticket agents.
But seeing how you fly for SWA and not a legacy carrier you may want to actually verify your jumpseat agreements with UAL, AMR and CAL. Good luck!