So after reading this thread, I tried to use my BA Avios points to go from Cuzco to Arequipa. There is one direct flight a day LA2111 which stops in Juliaca (Puno) before going to Arequipa but it did not show up on the day I wanted. Since, I'm not flying until November and most flights are wide open I checked other dates and they wee not available. It seems you can book LA2111 from Cuzco to Juliaca but not from Juliaca to Arequipa. So i can pay 9K per person and be routed via Lima or I maybe I should call and see if I can get LA2111.. it would be $25 but save me some flight time as well as 4.5k Avios points.