Those photo's are fabulously detailed, thank you Kburdette!
The only thing I'm not clear on is what you meant by a water discount. Could you convert that to a lye concentration (or lye ratio) for me?
There also looks to be colours in your batches - are there fragrances or essential oils as well? Just one clear soap and recipe is good (face sides and top), but what you have already provided is excellent
While I still suspect the silicone (given that there's bubbles in the orange/red bar, and you say that the ash is on the sides contacting the silicone, as well as the top), I also note that you don't cover your soap at all.
There are a number of causes for ash, but effectively it's the lye in your soap batter reacting with something other than the fats and oils, like reacting with carbon dioxide from the air ... and this is why covering your soap can be so effective - it reduces the exposure of the reactive soap batter to an alternative (to react with).
If at all possible, it might be worth opening all of the windows (temporarily) in your soaping area, to let the cold and fresh air blast through (I don't know whether this is possible or reasonable to do where you are).
Perhaps try a small batch, after flushing the room and covering the soap, and see if it helps?