7700,
Why on earth would you bother, when it is so easy to get a license validation as a visitor, and checkouts to hire an aircraft are straightforward.
If you want an FAA CPL that is useable in US, that is also straightforward.
You do need to study the Homeland Security rules carefully, and make certain you have the correct visas, regardless.
I don't have current details, but there have long been several groups that organise tours for Australian pilot visitors, starting in California and flying to Oshkosh and back was (is??) popular.
Talk to Mike Smith.
Tootle pip!!