We wash the outside and refrigerate, but that is for convenience- we have no counter space to store eggs. If you do plan to keep them room temp leave the protective film on. Also, it can be difficult to determine how different foods affect different eggs, you would have to find a way to isolate her metabolism and determine how and what goes into the eggs. I read once that someone tried to make their eggs pre-seasoned with herbs but it did not work. I also have read about putting non-toxic food dye in their water and having the eggs come out colored, but this may only work for light colored eggs. I would do some heavy research if you decided to do the dye, but that could be a way to determine metabolism (I.e. record the day and color dye was given and alternate colors- see if they mix or what days/how many days after the dye shows itself). Again, no idea if it actually works. The reason egg shells are colored are due to the protein pigment that makes the feathers colored- maybe if you want to hatch eggs see if the color of the shell corresponds with the color of the chick?
Hope this helps! Let us know what you do- good luck!