Prepare the shrimp: In a large, shallow bowl, combine the shrimp with the olive oil, oregano, thyme, basil, and salt, turning to coat and flavor well. Marinate for 30 minutes in the refrigerator.
Heat a skillet or a saute pan large enough to hold the shrimp in 1 layer, and spoon 1 tablespoon of the oil from the marinade into the skillet. Carefully arrange the shrimp in the skillet and, over high heat, saute just to color, 30 to 40 seconds per side. (Do not overcook, as it will continue to cook on top of the pizza dough.) Remove with a slotted spoon and set aside to cool. Season lightly with salt before arranging on the pizza dough.
Place a pizza stone on the middle rack of the oven and preheat the oven to 500 degrees F. On a lightly floured surface, stretch or roll out the dough to 4 (8-inch) rounds, with the outer border a little thicker than the inner circle. Brush each of the rounds with the chili oil.
Layer the pizza: Start with the mozzarella, then the Fontina, tomato, onion, shrimp, goat cheese, and red and yellow peppers. Gently slide the pizza onto the baking stone and bake until the crust is golden brown, about 10 to 12 minutes.
Transfer the pizza onto a firm surface and cut into slices with a pizza cutter or a very sharp knife. Serve immediately.
1 package active dry or fresh yeast
1 teaspoon honey
1 cup warm water, 105 to 115 degrees
3 cups all-purpose flour
1 teaspoon kosher salt
1 tablespoons extra-virgin olive oil, plus additional for brushing
In a small bowl, dissolve the yeast and honey in 1/4-cup warm water.
In a mixer fitted with a dough hook, combine the flour and the salt. Add the oil, the yeast mixture, and the remaining 3/4 cup of water and mix on low speed until the dough comes cleanly away from the sides of the bowl and clusters around the dough hook, about 5 minutes. (The pizza dough can also be made in a food processor fitted with the steel blade. Pulse once or twice, add the remaining ingredients, and process until the dough begins to form a ball.)
Turn the dough out onto a clean work surface and knead by hand 2 or 3 minutes longer. The dough should be smooth and firm. Cover the dough with a clean, damp towel and let it rise in a warm spot for about 30 minutes. (When ready, the dough will stretch as it is lightly pulled).
Divide the dough into 4 balls, about 6 ounces each. Work each ball by pulling down the sides and tucking under the bottom of the ball. Repeat 4 or 5 times. Then on a smooth, unfloured surface, roll the ball under the palm of your hand until the top of the dough is smooth and firm, about 1 minute. Cover the dough with a damp towel and let rest 15 to 20 minutes. At this point, the balls can be wrapped in plastic and refrigerated for up to 2 days.