Preheat the grill or Big Green Egg to 500 degrees. Place a pizza stone inside.

Sprinkle a pizza paddle with cornmeal. Place the rolled out dough onto the paddle. Drizzle olive oil onto the dough and spread with a spoon. Top with cheeses and cooked bacon or prosciutto. Sprinkle with garlic powder and red pepper flakes.

Sprinkle cornmeal onto the preheated pizza stone, and slide the pizza onto the stone. Close the lid.

Bake for 5 minutes. Then, crack three eggs onto the pizza.

Close the lid and continue cooking for 15 minutes, or until the egg whites are set.

Season with salt and pepper, slice and serve.