You can preserve eggs - my grandmother used to rub a grease all over them and then put them into trays in the coldest room of the house. When the chooks (they had 30-40) were off the lay, she still had eggs for breakfasts and cooking. I remember her having 50 dozen or more, like this.
Below is a link to a ton of egg recipes - the second link gives easy instructions on how to preserve the egg as I described: allrecipes.com/recipes/breakfast-and-brunc
Let me know how you get on with it :-)