@Beekissed, a quandary for you to ponder, since you are the expert. We are doing deep litter, but with ducks. My ladies are finally laying, but they are burying their eggs. They have a nest box, but change their spots every day, and I have to use the rake and search, so I'm turning over the litter much too much, I think. I am not sure if there's anything I can do about this, but figured I'd ask!
I'm no expert on this...just learning along with the rest of you! Ducks in a coop is out of my territory, that's for sure. Maybe make the nesting areas more private and use the most natural nesting materials you can find...I know they like long grasses for nesting, so maybe use a dirt base, then hay, and then a few leaves in the nesting box if you are not already? Then I'd take their eggs and leave them in the nesting areas for a couple of days without gathering them so they are encouraged to lay in a "safe" nest.
After a nesting site has been raided they are less likely to lay there again, so you might consider some wooden eggs or other fake eggs to leave in the nests to give them the sense that these are nests that are not getting raided daily. Ducks are quirkier than chickens, that's one thing I do know about them....maybe a little less domesticated.