I put the eggs in a carton, then seal the carton and wrap it both ways (side to side and end to end) with bubble wrap. Then I pack foam or bubble wrap between the eggs and the side of the box to stabilize them inside the package.
Tape it well and label it on at least 4 sides. I also print out my address labels rather than handwritten labels to prevent trouble in delivery. It seems to work for me. But then, I try not to deal with eggs that much. I prefer to sell started birds or adults so I know better what I'm dealing with.
So Stimpy you don't wrap the individual egg itself before putting them into the carton.
No, I figure those shells are permeable for a reason. I think wrapping them in plastic can be just as hazardous to the egg as mishandling.