That does make things harder to figure out.
Your situation sounds nice for the chickens! They've got plenty of ventilation, space, enrichment, varied diet, even fairly safe from bad weather and from predators. Sounds like everything we tell people their chickens need
Any chance the egg-eating is not a chicken at all, but a wild bird or a rodent or a dog or something? Or stepped on by a goat or horse?
Are the broken eggs reliably in the same place, or in all the nest-places?
If they're predictably in the same places, you could still try pointing a camera at the spot and see what happens, but most of my other ideas wouldn't work so well.
I can't think of any other ideas right now.