Not to start a disagreement, but to suggest how to solve stray eggs issues. In my opinion the more run room provided, THE BETTER... That area under coop is also dry. (from direct precipitation). Chickens may choose to dust bathe there . A+ plus.. Now if for some reason a chicken lays an egg there, very simple solution is to retrieve it with a small can attached to a long stick. I have such a setup that I use to get eggs from my winter housing lofts. 4 foot piece of 1" x 2" wood with a tuna can attached on one end.
Good idea and I agree the more area/space chickens have the better. For getting into hard-to-reach places in the coop or around the yard we got a child's plastic rake. A child's size is shorter than the big adult rakes and the plastic tongs are softer for rolling an egg out without cracking it. We have only 4 hens so not a common problem to have eggs layed outside the nestboxes.