You'd do well to leave the DE out of the mix. It's an indiscriminate killer of soft bodied insects and those the very ones you want helping to digest things in your DL. It's simply not necessary and it can actually kill the effectiveness of the system. I read where one member had used it and stopped using it....later on she was digging through her DL to remove for the garden and everything was rich and composted until she hit the layer with the DE~ where it was still undigested, dry and quite different than the other layers.
If you could layer in different types of carbon in your DL you'll have more success with getting your DL to start composting and "eating" your manures....try leaves, a sprinkling of flower/weed trimmings, pine needles, even some lawn trimmings in moderation and let it build like lasagna composting. Don't stir it around or dig through it too often....just lightly turn in the manure under the roost or throw a forkful of the litter over the poop. Add moisture if it needs it...it goes better if it has occasional moisture~you can just throw in your discarded waterer water as you clean it and refill it, or even just wet it down lightly with the hose if it can reach your coop.
All these things will help you get a more fly free zone there as there will be no feces to attract flies at all....they will be digested in the DL instead. I wish you guys could see my DL right now....lovely, moist underneath the top layer, rich composted goodness. I'm thinking about removing some of it~finally~to side dress my tomatoes. That DL has been growing and composting for 3 yrs now without me removing any of it and it's only about 8 in. deep. It has eaten tons of leaves, pine shavings, pine needles, flower and herb trimmings, hay, even twigs, deer hair, and bones.