Its a pity that the E-B3 visa has been mentioned.
An E-B3 should not be confused with an E-3
Even forking out $1200 for priority processing it could be
a long time before it's issued and the requirements
are loaded with pitfalls that generally only can be prevented
by an immigration lawyer and even then, there
are no guarantees.
I've never heard of an Australian going the E-B3 route.
It sounds simple on the surface but is riddled with pitfalls
that require a lawyer that makes it a very expensive process.