Waiting a week to see if the plastic netting snags anything.
New twist - I was watching Ytube vids about various snakes and traps ppl mentioned here, and stumbled upon SQUIRRELS stealing eggs. This coop is right in the middle of some squirrels' territory and it never even dawned on me they could be doing it. Vids of them picking up whole eggs and running off and even killing pullets.
I sat and observed this morning during the time frame the eggs go poof, and sure enough the squirrels were all over in the pen, eating food scraps and crawling right over the mesh sides and top. It seems they've developed a morning schedule in there when no one is around. Around the time I wake up and head out, they move back into the woods. - Still could not observe anything actually going up the ramp inside...
Still no confirmation on what is stealing, after this week of the mesh snare, we're moving onto a live trap, then cams if need be. Will update.
Appreciate all the ideas.