I've done this exercise twice from over east to Perth,,,,once with a trike ,once with a kit plane ,,,, the trike I moved with a company called "Millers Moves" a funiture removalist,,,the second with WA Freightliners,,,, both transport bills Hurt me "REAL" bad ,,,yep they moved them with no damage ,,,on time and in tack but guess what ,,,It costs due to the cubic metreage it works out as specially for the trike,,, I insurured the kit plane on the second transport operation as I was not prepaired to risk it ,,, Insured with a broker and was very cheap ,,,, just send a PM if you want his number as atm anyway I cant remember his company
Best of luck