I agree with the PP about casseroles. I stick eggs in lasagna all the time, in the ricotta layer. I also double the number of eggs requested in things like pancakes, cakes, etc. So pancakes for 2 people I will use 3-4 eggs, etc.
What about fried egg sandwiches? Or if you eat other sandwiches, like burgers/veggie burgers, fry an egg (break the yolk and cook till the yolk is hard so there is nothing runny about it) and layer it between the patty and bread/veggies, etc.
If you do decide to use the raw eggs, wash the shells thoroughly before you crack them. I have heard that eggs themselves are sterile inside, and that it is the salmonella present on the outside of the shell that gets into the egg when it is cracked that can make people sick. I always do this when i eat eggs raw for whatever reason (korean food or cookie dough, mostly) and have never gotten sick.
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