Preheat oven to 425°F.
Whisk together eggs and milk. Cook eggs on a lightly oiled skillet over medium heat until eggs are almost set. Season with salt and pepper to taste.
Roll out pizza dough into a large rectangle and place in a lightly greased cookie sheet. Cut 1-inch strips lengthwise on the two sides.
Arrange cooked eggs, peppers, ham, and cheese down the center of the dough. Bring the strips together to the center over the filling, overlapping to form a braid shape.
Bake in preheated oven for 15 minutes, until the braid is golden brown. Let cool slightly before slicing and serve warm.