Thanks for the help and the clarification, after going to the LAN website, I see what you mean!

As our dates aren't set in stone, I'll guess I'll just start calling and trying to get a flight 3-4 days before a year before our desired date (and try every subsequent day until I can get one.) From the sound of it, I can call LAN and try to get on this flight despite booking through AA? Can someone confirm this, and the process - for instance do I give them my ticket number and/or AA booking reference?

Unfortunately, we are using all 20 segments and can't take advantage of the 2 entries into North America.

Finally, does any one have any other concerns about the rest of our routes? Is SCL-IPC and back tough to get on as well?

Thanks again for all the help!