Dust the dough with the flour or cornmeal and stretch out to a 12-13" pizza. Place the dough on a pizza tray and pierce it with the tines of a fork. Drizzle with EVOO, season with a little salt, and bake 10 minutes.
Remove the crust from the oven and top with the tomato sauce, basil, a thin layer of the mozzarella, the mushrooms, and artichokes.
Bake another 10 minutes, or until the cheese bubbles and the crust is crisp. In the last 5 minutes of baking, add the prosciutto, peas, and eggs and another drizzle of EVOO.