Another thing to think about: using portable plastic nestboxes. You can cut a hole in plain plastic lidded bin, or use a covered kitty litter box, etc. Plastic is easy to clean and there are no crevices to harbor mites.
If one nest gets pooped in, you can just take the whole box over to your composter, dump out the contents, hose it down and leave it in the sun to dry. Then you can replace fresh bedding (maybe put a little poultry dust on the bottom of the box first), and return to your coop, all done.
If you have stationary boxes that are screwed or nailed to the wall, cleaning one becomes more complicated.
A portable nestbox is also very useful if you're managing a broody, too. You don't have to disturb her from her nest to move her to a separate pen. You can just move the box with then hen, nest and eggs inside it.