Bringing my dog to Australia...

Greetings,

I am bringing my dog with me when I relocate to Australia fro school. I am
in the process of completing the requirements as outlined by AQIS.

Does anyone know which airlines will allow passengers to bring their pet
on an international flight from the US to Australia?

I have contacted United, Delta, AA, Quantis, Air New Zealand;
they all tell me that they do not allow pets. Any ideas?

I have contacted a couple pet transport companies here in
the US, but they are rather expensive. Any feedback would be great.

TIA,
Corey