Hi freeflow and welcome. Simply thinking aloud here: if you make a mash or a wash that if you decided not to distill would still be drinkable as an unhopped beer or a wine then what would be the purpose of removing all the flavor notes through carbon filters? I presume that the reason why the makers of air stills recommend carbon filtration is that they also recommend poor fermentation protocols (turbo yeasts to ferment at the speed of light; flavor-poor fermentables and the like).
If you came to distilling via brewing or wine making you could make a one gallon (4 L) ale or a wine at the drop of a hat, (and wine yeasts in the US cost about $1.50 a pack and unless you have excellent storage conditions that inhibit bacterial contamination of the yeast you would use a whole pack even for a single gallon though that pack can also ferment 5 or 6 gallons at reasonable starting gravities) and while presumably, the quality of the beer or wine may not need to be as high as the quality you would want for an ale or a wine you would never think of filtering it with carbon to obtain just the ethanol.