I'd stop stirring it around....just layer dry on top of the more saturated bedding and cap it off in that way~if you need to cover piles of poop under the roosts, just lightly pick up dry bedding and flip it over onto the poop. That ammonia smell is the byproduct of the breakdown of manure and bedding. Add ventilation at the floor level to ventilate it out of there, as fresh air comes in at the bottom it will move the stale air up and out of the coop. If you want to stir it around to aerate it, do so before adding dry bedding so that you don't lose your dry bedding into the moist bedding and lose the benefit from it at the top layer.
Another way to dispel odor in the coop is to start feeding fermented feeds, which predigests the feed for the chicken, allowing them to retain and absorb more of the nutrition in the feed so that less is expelled in the fecal matter. The bad smells in chicken poop are the undigested grains decomposing on the coop floor, where they attract flies and emit ammonia if allowed to build up. Feces from fermented feeding have less of that undigested matter, so the break down in the litter is quicker and less odoriferous. That bad smell? That's your money on the floor going to waste and making it hard to manage the DL. The fermented feed can save you almost half of what you are currently paying out in feed costs while making your coop environment healthier and easier to manage...and it doesn't cost a dime more to turn your feed into a fermented one.
