Thanks phlashba!
We're arriving to EZE on American, though they are separately-booked itineraries.
We were planning to take a taxi or private car between the two for the fastest trip.
And, we don't really have much of a "Plan B" if we miss the LAN flight ... other than to act sympathetic and hope they can help us. I know ... not a fantastic plan, but ....
Our other alternative is to book a 4pm flight on Aerolineas Argentinas, but we were hoping to avoid that (A) because we prefer LAN and (B) it gets in much later than we wanted.
Unless others think this is doable, it sounds like we may have been optimistic on how quickly a EZE-to-AEP connection could be done.