I went to check-in online and got this lil message:

The request to check in online and print a Boarding Pass cannot be processed due to Southwest Airlines procedures, requirements or fare rules.

Please check in at the airport at a Southwest Airlines Skycap podium, Ticket Counter, or RAPID CHECKIN kiosk to obtain your Boarding Pass or Security Document before proceeding to the security checkpoint.

Looks like another middle seat for me. Slap some extra security screening on and I can make it a day to remember.