Lant, again I am speaking beyond my experience, so I don't know what sort of concentration is needed. That said, in recipes that I make for bloomy cheese, a little geo goes a long way, so I would guess not too high. It may be that other things need to be added to the water to encourage the geo to grow ... ??
I think a small sprayer like you describe is what people generally use. I don't think there would be a problem using boiled & cooled water - main thing is to avoid the chlorine. Distilled would eliminate any other variables, such as heavy mineral concentrations or things like that, but I don't recall whether that was a problem in the water supply in Singapore. (I lived there for three years - loved it! - but it was, uhm, err, well, 40 years ago. Apparently, somehow, I have gotten old ... !) Truth be told, the only time I use distilled water in my cheese making is when I make up a fresh batch of brine; otherwise, I use water that comes through a basic filter, and boil and cool it.
If you don't have it, you as a chemist would love Gianaclis Caldwell's book, Mastering Artisan Cheesemaking. This has become the "cheesemaking Bible" for many of us - it doesn't have 200 recipes like some books,* but instead it helps you to understand what really makes the difference between one type of cheese and another, providing recipes for the primary types of cheese that can also serve as a foundation for making variations. And in particular, what she does so well is to explain what is going on at the bio-chemical level, without getting into too much technical language that would be over my head.
I don't recall if she addresses the question of spraying a cheese, but it is likely that she does - the book is very, very thorough. Highly recommended!
*Incidentally, I'm not knocking the books that have 200 recipes, or such - I have a couple, and I use recipes from them. But there is a tendency to get bewildered as you look at each recipe, and wonder how it really differs - or
if it really differs in any significant way - from the previous five or ten recipes that you have just read!
Another resource that might give a quick answer on the geo spray & concentration - if you haven't checked out the recipes on
www.cheesemaking.com, you might search there for "Cambozola" - that may or may not be the term they have used, but that's a generic term for a bloomy blue.