I was reading the IB redemption table and I saw LIM is actually a band 6 destination when redeeming with IB Avios. I don't know about through ba.com, but I think it might be worth mentioning as it's a 50k Avios + 108€ each way for a J seat. A fantastic value for that distance.
EDIT: GYE is also included in band 6. So those are some good values for anyone looking for a South American trip.