Preheat oven to 500 degrees F. Put a rack as close to the bottom as possible, and put a pizza stone on the rack.
On a lightly floured surface, roll the dough into a very thin round. Sprinkle some corn meal onto the pizza peel. Transfer the dough to the pizza peel. Drizzle some olive oil over the dough, and season with salt and pepper. Slide the pizza onto the pizza stone and bake until the bottom is crisp and the edges browned, about 10 minutes.
While the pizza dough cooks, heat 1 tablespoon of the butter and 1 tablespoon of the canola oil in a small saute pan over medium heat. Add the sliced onion and sugar and cook slowly until caramelized, about 10 minutes. Season with salt and pepper; set aside.
Heat the remaining tablespoon of oil in a medium saute pan over medium heat. Add the bacon and slowly cook until the fat is rendered and the bacon is golden brown and crispy. Remove with a slotted spoon to a plate lined with paper towels. Reserve the bacon fat in a small bowl.
While the pizza finishes cooking, pour 2 tablespoons of the reserved bacon fat into a medium nonstick skillet and heat over medium heat. Add the remaining tablespoon of butter. Add the chile and cook until soft, about 2 minutes. Whisk the eggs together in a bowl until very smooth, and sprinkle with salt and pepper. Pour the eggs into the pan and stir constantly with a rubber spatula until soft curds form, 2 to 3 minutes. Stir in the goat cheese pieces and remove from the heat.
Remove the pizza from the oven to a cutting board. Top with the scrambled eggs. Drizzle some of the herbed creme fraiche over the eggs, and scatter the remaining herbs over the top. Slice and serve. (You can also slice the pizza into wedges, plate them, and top each serving.)