If you haven't got one already, I would say go for the Citi AA card:
http://www.flyertalk.com/forum/miles...-up-bonus.html
Best sign-up bonus I am aware of at the moment and the timing of your desired trip is during AA's off-peak time so it will only require 40K miles and a relatively low amount of taxes and fees.
Note that I am assuming economy class. Other options may be better if looking for J/F ie AMEX MR transferred to ANA and redeemed on AC.