Best bet is to ring some of the engine re-builders in Brisbane and ask them who they use to freight engines. Also try Just-jap in Virginia (brisbane suburb) they deal in engines and they would nkow who to use.
I have not ever shipped an engine, but I am sure that you are looking at a couple of hundred easily as they aint that light and they will need to be put onto a pallet and strapped down to the pallet. I have seen this happen a few times.
try -
Gorton's Transport
(07) 3216 6899
I have heard they do engines, but it needs to be packed properly before they will pick it up.
Cheers
Chris