A SJ 24 is 24' LOA and displ. 3200 lbs. A decent full size pick-up can pull that! With a fin keel/4' draft, it might be a tad troublesome to rig a cradle; but for shortish runs...possible. D/FW to Galveston is a bit of a run.
Mebbe see what it woud take to have a cradle built from struc. steel and rent a car trailer? Thataways, you'd have the cradle to set her on at home or marina off season and only the rental once or twice a year, if ya move it after that.
Obversely; ya could source a trailer specific to the SJ and deal with alla that cost and maintenance. Still cheaper in the long run than (possibly) one-time haul fee??
Lower cost = more sailing $$!