Preheat oven to 375 degrees.
In a bowl, whisk together the 4 eggs, milk, salt and pepper.
In a non stick skillet over medium low heat, melt the butter and add the eggs. Cook, stirring occasionally, until the eggs are cooked to your liking.
Roll out the pizza dough. Lay the American cheese down, leaving a 1 inch border around the outside.
Add the eggs, bacon, and then the cheddar cheese.
Whisk the remaining egg in a small bowl, and brush the egg all around the edges of the dough.
Roll it up into a long tube shape. Pinch the seams together.
Place the stromboli seam side down on a parchment lined baking sheet.
Brush all over with the egg wash. Cut a few slits in the top.
Sprinkle with everything bagel seasoning.
Bake 25-30 minutes, or until golden brown. Let cool for 5-10 minutes, then cut into 2-3 inch slices.