We are well known for our good packing, but when comes to temp control, it's a diffirent battle all together.
So far this is the best way that works, besides using styrafoam ice chest (which it's costly). this foam kept eggs from heat/cold and rough handling, you just stuck your eggs in the hole, wala! Done.
Years ago, I had seen foam egg container for quail, but can never find it again, so we came up with this. If any one know a place to get it, please let me know. Because this is home made, it works but just not as polished. Our store can make it for us, but it cost an arm and the leg, you can also order from U.K but no one will ship to US.
Check this out:
https://www.backyardchickens.com/forum/viewtopic.php?id=366655