Sorry for the hijack, guys; I just really miss a good old-fashioned tech argument. It's been too long since I've been on the tech board.
I'll agree that in a perfect world all engines would start at operating temp w/ pre-loaded oil pressure, but they do OK as it is w/ a little common sense. Now overheating is a different story, that will shave years off the life of any engine.
And I would not want some random, unknown transporter handling the car either; but if you use someone w/ a good rep you'd probably be fine. Obviously record the odometer and make the driver sign-off on it when he picks up the car. An honest driver will not care a bit, and it will give the other kind 2nd thoughts about screwing around. Same w/ a walk-around for scratches, etc..
If I had a trailor I'd do it for you. I have the right tow vehicle.