I'd highly recommend you fly out and drive it back. Take the time to enjoy your new car and get to know it.
But since you're asking, that's probably not an option, so I'll recommend Reliable or Pilot. Both are expensive, but are the only companies I would ever use to transport my own car.
There are certainly other options, but nearly all of your budget friendly online options are just brokers. I.e., You send someone some money and a pick-up/destination, and whenever somebody is nearby with an open trailer spot and headed your way they grab the car and go. It will not be the company that you talk to and pay. Somebody might grab it right away, or it might be a month wait. They might drive it right to you, they might get a call for a bigger job and have to drive up to Indianapolis first. It might stay on one truck the whole time, or maybe they offload and sub-contract your delivery to a friend that works in the area.
Long story short - expect a serious headache and lots of mis-information if you're going with the lowest bidder.
If you're buying from a dealer, perhaps you can ask them for any leads?
2007 Solstice GXP
#3 ASP, DET and NWOR SCCA
"It's a Kappa - not a classic"