waterfarming? by this you'd probably mean a hydroponics system? i would proably have to say the screen of green method with a dwc bucket. but if you had unlimited space i'd personally use sea of green, as it's just less hassle.
i don't know where people come up with aeroponics as the higest growth rate method.
personally, i'll run an aero set up out of town with dwc or ebb & flow.
in fact, i find areo to be a huge space waster.
...definitely not saying it doesn't produce ...if you know how to maximize the set up.
which goes right back to what "bigv" notes : learn how to grow a plant, understand how to read your plants, and you can maximize ANY method using any medium.
The biggest yield? Outdoors. The biggest yield system indoors? The "medical grow" method with vertical 1000 watts has the highest yields that I have seen but each plant is 6' in diameter so you better have a big grow space.