If by Kittles you mean "Redstar" or whatever it is, I rang them a couple months ago for mine and they rekon they don't come to alice....Beats me?
I booked online through http://www.movingcars.com.au/ (i think) and cost me a bit over 1k from melbourne.
Turns out it was delivered by "Ceva" (again, i think) which is basically either Toll or TNT (can't remember which is which) but it only took almost 2 weeks from pick-up to delivery (previous car took 6 weeks from sydney). From Adelaide will be much quicker i expect. This co. can pick-up and deliver door to door or depot to depot or however you want, of course door is extra cost.
I recommend getting a few quotes as there was a huge price difference. up to $1600 for some. Also enquire about insurance in the event the truck rolls or any damage occurs during transit.
If Peter can get you a good price go for it..
By the way the train is waaaay too expensive and no insurance... unless you travel with it.
Got any pics/links for the car your buying or is it the one in your avatar/sig?
CHeers mate, can't wait to see it.