I have found many solutions to living without refrigeration on websites dedicated to survival. This hint about eggs came from a place called directive 21.
The simplest way to preserve eggs today can be done with an easily obtainable material: mineral oil. The reason that eggs spoil is that oxygen and bacteria passes through the shell. By coating it the shell with mineral oil, the shell is sealed off.
What you need is to warm a quarter cup of mineral oil (just put it in the microwave for 10 seconds), put on some gloves and coat the entire egg with oil. It doesn’t matter how thick you apply it, just be sure that the whole surface of the shell is covered. Now the egg is ready for storage. Place the egg pointy side down and store it in a dark and cool place (around 68 degrees). Flip the eggs once a month to maintain the integrity of the yolk and the eggs will keep for 6-9 months.
I don’t know if I believe 6-9 months, but 1-2 months would be all that I would need, so it is worth a try. What else could I use mineral oil for?