We will arrive in Rio De Janeiro on May 11, and start our trip in South America from May 17 from Rio De Janeiro,we will go to the following cities and countries. Please kindly advise what is the best and economical way to arrange our schedule and routine, we have enough time and very flexible with the flights schedule as long as it is logic and saving time/money,

SAO PAULO (3 nights stay)
IGUASSU FALLS(BRAZIL) (3 nights stay)
BUENOS AIRES (5 nights)
EL CALAFATE (1 night stay)
SANTIAGO (CHILE) (2 nights)
CUZCO (PERU) (3 nights)
LIMA (3 nights)
CUENCA (4 nights)
QUITO (5 nights)

We prefer to take non-stop flight back to RIO DE JANEIRO, after the last stop, on June 15, or June 16, if possible.
Tks in advance for your help.