Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
The only airline that serves IPC is LAN, from SCL and PPT year-round, and from LIM seasonally. So the only miles that will do you any good are those that can be redeemed on LAN.
AA would charge even more than BA for flights between South America and IPC.
How much does LAN want for cash tickets on the route in Y?