As long as we are talking options about getting into or out of the metroplex for the picket, don't forget Alliance. FedEx operates a hub there, and once you list for their jumpseat, it's space positive.

Atlas (Prime Air) also has a sizable operation there.

If you were driving it's about :45 minutes from there to Love Field.
Heading back, take the Dart rail to Grapevine or DFW and Uber the rest of the way. I'd give myself 2 hours of doing it that way, just to be safe. Not ideal I admit, but it's space positive, and you don't have to worry about getting stuck in a middle seat!