Presumably you are redeeming an Aadvantage OW award -- the rules are different in each airline's plan, but the AA rules are the most favourable. QFF allows a maximum of 5 stopovers, for example, as well as other routing limitations. With AA you can easily cut it down to 16 segments and still do the core of the routing. You just have to decide which flights are cheapest to buy (varies highly, for example fares in Brazil are pretty high now due to the collapse of Varig).