Fresh eggs (back yard fresh) do not have to be refrigerated at all. They have a natural coating from the hens that is removed in a commercial setting. Pasteurizing removes this coating and they must then be refrigerated. I live in the city and keep two hens (contrary to my hoa rules). My sweet girls lay lovely brown eggs daily and are fine to leave for a few days outside when I go on trips. Four days gone — 7-8 eggs upon return. I just do the egg test when taking them inside. If they float (it’s never happened) then throw them out. No pasteurization necessary.
They’re illegal in my city, but there are folks around who keep them on the sly. As long as you don’t try to keep a rooster, I don’t see a problem.
Do you feed them or do they forage around?