How shall I arrange my slowly-eating plan and preserve a box of 5Lb frozen eggs over a long period?
I would thaw one pound, and make something with it that I can freeze. For example. I bake quiches in leek and chard season - each quiche uses three eggs. They freeze beautifully once cooked (I slice them into servings before I freeze them) and it's easy to remove one slice, warm it in the microwave, and enjoy. So make three quiches and freeze them, you could eat two slices a day if you wanted to.

You could experiment with a variety of egg dishes that are not just "one egg, scrambled", or "one egg, fried" to use 9 eggs at a time. The internet is full of recipes for frittatas, quiches, soufflees, egg casseroles, and the like. Just remember to cook your creations before freezing, and to partition them for serving.