Just for shits and giggles I have an idea that may work. I work with computers. I have lots of "Can's of Air". If you've ever flipped a can over and let'r rip it pumps out something akin to aresol freon. Think that would suffice for this application?
Also I'm assuming at the point just after doing this, shall we call it, the "shrinkage point" I'm assuming this is when I should try and unscrew it all the way out? Does it come all the way out and I just be careful to grab the little washers and such? Then hit it and the hole with come air and/or crab cleaner?
I checked the Clymer manual but they act like the mixture screw is the first rule of fight club.