One more important question, is do you need the money in AUD right now or later? If later, you'll have the choice of converting it sooner (better if the Aussie dollar rises against the US) or later (better if it falls).
I'd say your options are:
1) Wire it from the US account to an AUD account here, where the receiving bank will do the conversion
2) Wire it from the US account to a multi-currency account here (or a pair of USD and normal AUD account), and convert at your leisure
3) Wire it from the US account to a USD account here, withdraw cash at the bank (you'll need to request it in advance for large amounts) and then convert it elsewhere.
Since this is just a straight USD->AUD conversion you are after, and there it's not about overseas transactions and multiple currencies, AFF may not be as helpful as normal.
My advice would be to look on the websites and/or call up NAB, Commonwealth, Westpac, Citi, HSBC, etc and see what their fees are for incoming wired money, account fees, cash withdrawals and conversion to AUD. Although it's more than a few there aren't that many banks, and the small details probably change fairly regularly.
The CommBank foreign currency account for example seems to have no fees for accounts, $35 for incoming wire, and 1% on cash withdrawals (
https://www.commbank.com.au/content...ply-online/download-printed-forms/ADB1784.pdf) Simply repeat looking at the other banks, plug it into a spreadsheet and you should have your answer.