AA.com lists a New Zealand office, maybe give that a try -

New Zealand
Phone: +64 9 912 8814 (Reservations)

No airport ticketing facilities available Monday - Friday:
11:00 a.m. - 6:00 p.m.

In an electronic age, some of these rules are archaic. Your citizenship, location, credit card etc. are irrelevant .... but where the ticket is sold is still in the rules. If it is sold to you in Australia (and that means the person doing the selling, not where you're sitting when you do the buying), then you pay the Australian price. The sooner they get the xONEx online booking tool extended to include xCIRx and xAS1x products, the better. I would also 'complain' to the AA RTW desk.