I've ordered eggs off eBay in years past, and this year went wild and ordered several from quality breeders and one I found on eBay. All of them came individually wrapped in the tiny bubble, bubble wrap.
I used to do it that way, until someone shipped me eggs in hot water pipe insulators. I had hubby go get me a few and that's all I use now. Slicker than a whistle and each egg is extremely protected. I use up all that bubble wrap I bought by lining all sides of the box with several layers and stick some inbetween the eggs if there's spaces, so they can't move. I've only shipped off maybe 9-10 dozen over the years, but never once did anyone ever mention a broken egg.
This seller took no care to find out how to ship eggs before she did that. I've had a couple send them in egg cartons but they were each individually wrapped so they couldn't jiggle together and break.
Rinsing those eggs isn't a problem. I've soaked mine in an anti-bacterial solution for 60 seconds, then rinsed, air dried, and put in egg cartons to sit for 24 hrs.