Broody hen

I have a broody hen and I was letting her sit on 4 eggs. The other hens keep laying their eggs in the broody hens nest box. The other day, there was a cracked egg under her that got many of the eggs ‘icky, sticky’. I like to sell the eggs as eating eggs. Can I clean those eggs off with plain, unchlorinated water and still leave them on the counter or would I have to refrigerate the eggs after cleaning them with plain water?