I've been a hen keeper for some years now. Sadly I lost the last two earlier in the year in a very traumatic incident. Anyway, the best way to keep eggs that are freshly laid is not to wash them. They have a natural covering on them after being laid that is called a bloom. Always wash before using in case of contamination. Our climate here doesn't really allow for leaving eggs out of the 'fridge. I personally wouldn't eat eggs left too long because they won't taste as good or work as well in recipes. I don't eat eggs at all anymore. Poor hens. What their bodies go through every cycle/day to lay a little egg is beyond belief.
Sorry for the rambling. I so miss our chickies.