You can use this fare to go to EZE/SCL/GRU
MIA-SCL-EZE stopover for a couple of days then EZE-ASU-(SCL/GRU/LIM)-MIA for $525 with the raise (it was $385 few hours ago). Keep in mind that stoping in Argentina will add over $70 in airport taxes.
MIA-SCL-EZE/SCL-MIA will be on LAN which will earn 25% RDM, 50% EQM on AA (100% on AS) but flights to/from ASU will be on PZ (Lantam Paraguay) which will not earn miles.