Not answering your question, but when I called around to a couple suppliers, the major issue was scheduling. In both cases, it was going to be very difficult to get a truck that was going from Georgia to California within the month.
Agree with Randy. There is a steady supply of trucks, but getting on one can be a PITA, esp for covered transport. It took almost exactly one month from the time I bought the car until it finally arrived. Once your car is on the truck, it sounds like it usually only takes about a week or so.
I got my car from Colorado to Seattle using www.kiwiskarriers.com as they were recommended by a friend.
I was VERY satisfied with the experience, they were excellent communicators and did a great job with the car. I did choose one of their uncovered transports to save %30-%40, so the car arrived quite dirty, but unscratched, a quick rinse and it was like new.
No problems with Showtime except it took 10 days vs the 7 originally quoted. All the cross country carriers are picking up cars along the way unless they are full, which usually isn't the case. They made a stop in Frisco to pick up 2 cars before dropping my are off in LA. The truck was nice. Had a lift gate like the race car transporters. Showtime's # is (888) 748-4418. Good luck.