And worse case, consider paying for a night's stay at the airport hotel to break up the travel. Assuming 1 night @ $200/room x 2 rooms (if you even need 2 rooms), it is still only $400.
It's unfortunate that they changed tickets, but this one is not AA's fault. Schedule changes happen all the time, and this one is 6 months out.
I have encountered interruptions/schedule changes, and you just either find other alternatives (or roll with it) especially since you're still only paying a fraction of the cost for the seats. You can think of it that way.
And agreed with what someone posted, CX tends to open up more seats closer to departure date, so keep an eye out there too.
Good luck.