I called back (thank you Miami) and had to go through two agents and sit on hold while they learned about booking Lan Ecuador Flights.

You can book now but the coach class seats are basically booked for the rest of the year. Biz class is available though for 60k and it's worth it for a direct flight which is about 5 hours.

Now I need to know, from all you savy flyers, if I'm better off using my advantage miles to book or convert my Lan Pass miles to AA? Which way is the better deal.