This is one of SupraSPL's spreadsheets and it shows the lumen output of the cxa3070 AB bin at different currents (lm50c), i think these numbers are taken from some documentation posted by cree, but i am not sure about that. Maybe supra or one of the other users here can answer that one.
As far as i have understood most people stay between 700 and 1400mA, since this gives a decent price/watt with good efficiency. My setup is quite small, and i have more problems with low temperatures, so i opted for the higher amperage.
Stardustsailor uses a more efficient and dimmable driver for his builds (but more expensive) that can do 350-1950mA. Meanwell HLP-80H-42. Stardustsailor has made some really good looking lights, you should check out his thread "thinking of a new light" if you have not seen it already.