You'll need to increase ventilation options until you have some good airflow at the floor/litter level and good ventilation above the roosts....this will move any moisture and ammonia up and out of the coop. I can't stress that enough...the only way you should ever be smelling ammonia is if you ventilation is too little or not setup for maximum air movement in the coop.
I can almost bet you're using all wood shavings in your coop. When I was using wood shavings I was always dealing with ammonia and litter that got saturated quickly...I think someone on here called it the diaper effect and that's pretty much how it is. When I stopped using wood shavings I could finally get a well managed composting deep litter in my coop with very little effort on my part.
I'd stop removing the bedding from under the roosts...rather build it up there on a daily basis. Stop stirring the bedding or encouraging the chickens to do so. Layer in dry bedding on top of your nightly poop deposits each morning and just keep doing that. Take dry bedding from other areas of the coop and just toss a light layer on the nightly poops.
Switch from wood shavings to a more varied bedding with different particle sizes and break down times. Leaves are optimal, but now is scarcely the time to find any...just keep it in mind for next year. Many of us are finding that free, already bagged leaves are plentiful in just about any town during the fall. I just drive around and collect them, store them somewhere dry to use for bedding all year round.
I'd start mixing in small amounts of straw now and again, then lawn raking debris like twigs, pine needles, woody stems of this or that, a few handfuls of hay, etc. Wood chips~not shavings~ are great if you let them age first, then use them sparingly. Anything that will vary your particle size and type will help in creating air spaces in the pack and also help with breakdown times.
I wouldn't use anything that will dry out your bedding...you'll want to trap that moisture under the top layer of your bedding right under the roosts. You'll need the moisture to get it to decompose. I wouldn't worry about any other area of the coop and the DL there except the area under the roosts...it will drive the rest of the composting in the coop. Take fresh bedding from other areas, layer it lightly on the poop, keep doing that each day. Don't stir this area, don't flip it deeply, just cap it off. When you put new bedding in the coop, put it everywhere but the roost area....you'll be placing it there a little bit at a time each day, so no need to deposit large amounts there when you add new bedding.