David, nice thinking, but I'd think a little more. Actually I am one of Ray's "plumbers". I guess that makes him a bricklayer

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My GH clearly operates in a higher humidity ambient environment than yours, but it's also much larger and has a correspondingly higher peak than yours at 30 x 36 with a 16 ft peak. The GH company that designed and built mine considered (at my request) a fogger cooling system versus other choices. They had two other much larger GH's built with foggers. Both were about 3 times larger than mine and although I don't know the exact peak heights, I'm guessing about 25 ft. Neither of those is able to totally evaporate the fog (with higher pressure and thus smaller drops than you will get).
It's possible that in your low humidity it might work, but I'd be suspicious at your peak height which requires much more rapid mass transfer to the vapor phase than any of the ones above. Especially since that evaporation will be occurring at the higher humidity inside the structure. The need for cooling and for humidity are independent of each other. So if you turn off the fogger at some preset humidity, that might be exactly when you need the cooling and cannot get it because of wetting the plants.
I opted for a wet wall system because of the fogger issues that resulted in wet foliage in more favorable conditions (bigger houses) than mine and much more favorable than yours. You can't just look at the chart to determine the outcome. The evaporation must occur in a limited flight time of the droplets and that's much more difficult to calculate (actually it's darn near impossible considering the range of variables that would need to be included).
The results from constantly wet foliage are devastating. Supplying sufficient RO water to meet your anticipated needs is also questionable and definitely expensive. I would be sure that that you are looking the output capacity of the RO systems you are considering, not the water input capacity. Confusing those two could be a mistake of a factor of three or four.
Water is cheap where I live. I can't imagine what your cost would be in southern California. I use rainwater with one of Ray's RO units as a backup which I fortunately don't need very often because I see dollar signs running out in the field every time I turn on the valve. I have his 100 gal/day (input) unit from which I get a measured 30 gal/day output of pure water. It has saved me from time to time (like the last two months), but I sure hate to use it. My water bill is about $40-50 a month higher with it running. I'm guessing it's actually running about 120 gal/input. It supplies a non-pressurized storage tank and operates on normal water system input pressure (about 60 psig) although that varies on distribution system usage rates.
In my experience, I do not think the fogger system will work as you wish and the water supply is going to be extremely expensive. Rigging up a way to use a wet wall would be a better alternative in my opinion.
Just a "plumbers" opinion.