Don't do it all in the States.
Do your private with a long time instructor in Australia. When you go to the States you'll probably be put with a low timer CFI. That's the way the system works but you'll do yourself a favour if you get at least your private with someone who's been around the block before.
You'll learn a whole load as a CFI and in the end, it'll cost you a lot less than being a hangar-rat for 5 years.
The waiting list on the other side of the country is not as long and most of their instruction is in the R22 and lately the R44. They have one very old Schweitzer. By far the majority of other schools in the US where you may end up as a CFI are using the R22. On the other hand, the Florida school is mostly Schweitzer and as I understand, far less flexible with schedules etc.