Have you thought about an N registered machine ??
If have seen quite a few in Europe and Australia.
Maintenance wise for experimental or limited all you need is someone with an A&P licence.
Folks,
In general, Special Certificates of Airworthiness are not valid outside the area of the NAA that issued the certificate. Any operator of such an aircraft will need the express permission of any other NAA, to operate their aircraft in that NAA's territory.
Australia giving permission permission for such operations is very variable. ie; If it is a new Boeing aircraft on a development/sales tour, no problem, if it is an N registered (or any other rego.) "warbird", don't hold your breath, unless it is here specifically for an airshow like Avalon.
Tootle pip!!