I wouldn't trust those inspection companies, I'm sure they specialize in "appliance" grade vehicles, not our unique little roadsters.
So you'll only be driving it a few hundred miles to Austin? You do know Dallas is closer? Is your shipper making you do that?
As long as the tires are decent, and there's some way to visually inspect the oil line fittings, I would even consider driving it straight back to FL.
FWIW I drove mine several hundred miles back to Dallas, also without the recall work done, no issues.