I always use Transport Tie Down Straps on each wheel when hauling cars. Just last weekend I hauled a Dodge Dakota R/T from FL to OH, it rode perfectly with no adjustments or tightening needed.
My late brother was the Safety Manager for a company that hauled new vehicles to dealers all over the SE. They had hundreds of semis. 15 years ago he fixed me up with the "over the wheel" straps that they used on their high end cars that were usually hauled in large soft sided enclosed trailers. I had been having trouble with under car clearance issues while hauling my Ferrari 308 GT4 using the normal chassis tie down straps. I modified my trailer to accept the hooks on the straps (the semi trailers had aluminum ramps with multiple holes to accept the hooks). The difference between the normal tie down straps and the "over the wheel" straps was like night and day. The car rode comfortably on it's own suspension and never moved a bit. The straps not only hold the car down on the trailer but also the friction between the strap and tire prevent the tire from rotating.
I use straps like these.
http://www.awdirect.com/2-wide-soft-transport-tie-down-strap/auto-transport-straps/
My brother had a custom trailer made to haul his Dodge Dart 340 to car shows. He had it made with the same crank down chains that were on his semis. He could load/unload his car in less than a minute. The reasons that the commercial haulers use the chains is speed and to crank the cars as far as possible down on their suspension in order to get as much vertical clearance as possible for stacking cars in as compact of a package as possible. The "load build" is a real science to get as many cars on the truck as they can with the "unload" sequence optimized for multiple dealer stops.
