I assume its an open truck - it will be dirty coming back.
One of the guys in the club shipped his prized Jaguar XK120 across Canada and his mechanic placed strips of green masking tape (comes off easily as opposed to duct tape) over the corners of the bumpers, and body corners and door edges and wheel arches and mirrors so that he could see if there was any contact by the shippers - apparently his car had to change trucks mid way in the journey. I would decline the shrink wrap or tarp so you don't get the wind buffetting marks - especially if there is dirt under the wraps.
Take lots of pictures under and above - tell them not to dent the fuel tank or the front grill and cross your fingers. I would worry about pilfering when the driver stops for a snooze but then again these cars don't look that different than a small mustang to the untrained eye so it will probably be ok.
Considering where my car was and had been over the past 20 years the only real damage was the crimped fuel and brake lines under the frame, the bent horns when the car was pulled through the semil hard mud, the crimps in the floor after being pulled over a make shift ramp and the edges of all body parts - paint chips - scrapes - dents and bird poop - but that is after 20 years being moved from one place in the way to the next to finally outside where the wood pile was (wood pile went ontop of car) and then into a cave over a dirt floor. These cars are tough as nails so yours should end up arriving in excellent condition.