I've smoked eggs in the past but wasn't too impressed with the results. It has been many beers and a number of years since I've done it, but I remember using unshelled hard boiled eggs. I don't recall if I tried uncooked eggs. Since egg shells are porous, I think smoking uncooked eggs in the shell may result in a richer smoke flavor.
I wonder how they would be brined and then smoked. You may end up with the perfect hard cooked egg.
A tall frosty beer and 6 smoked eggs please!