DennyR is correct about 12s setups being more efficient than 6s setups on a helicopter because the higher voltage means less amps to get the same wattage. Wattage equals power. You have to decide how much power you want and design the motor around it and the voltage you want to run. If you try flying that same helicopter on 11s though, you end up reducing the voltage, amps and power, but gain efficiency.
For example:
12s pack = ~50v
50v x 50a = 2500w
Go down one cell using the same motor might look like this
11s pack = ~46v
46v x 46a = 2116w
You lose voltage, current and wattage
If you want to get back to 2500w using the 11s battery you need a different motor that is higher Kv and higher current draw
11s pack with higher Kv motor
46v x 54a = 2500w
So the same would hold true for the S800. If you try 5 cells, you will reduce current, but you also reduce the lifting and stabilizing abilities. If it flies smoothly and with authority on 5s it will be slightly more efficient and should produce less heat. The speed controller should be happier with this.
Tim