In a large bowl, whisk together water and yeast; let stand for 5 minutes.
Whisk in salt, garlic powder and olive oil.
Stir in about 3 1/2 cups of the flour, or until a soft dough forms.
Sprinkle the work surface with the remaining flour, turn out the dough, and knead
until smooth, about 5 minutes.
Lightly oil a large bowl. Put in the dough, turn it too coat it with oil, and
cover with a clean towel. Let the dough rise until it is puffy and light — about
2 hours. The dough can be prepared to this point up to 3 days in advance. Return
it to room temperature before using. The dough can be frozen at this point for up
to 2 months. Thaw it in the refrigerator overnight, then set it out, coated with
oil, to rise at room temperature.
After kneading, punch dough down, divide it into fourths if desired, and wrap
Preparing the Pizzas: Light a charcoal fire and let it burn until the coals are
evenly white or preheat a gas grill. Wrap wood chips partially in foil, creating
a small packet that is open at the top. Set the packet on the hot coals or hot lava
stones. Position the grill rack about 6 inches above the heat source.
Pat one piece of pizza dough to a 12-inch diameter round on a floured working
surface. Transfer the dough to a grill, placing it on the cool zone. Cover the grill
and cook the dough until it is puffed on top and lightly marked by the grill, but
not at all crisp on the bottom, 4 to 5 minutes.
Transfer the crust to a work surface and flip it over. Spread 1/3 cup tomato
sauce over the dough, leaving a 1/2-inch border. Scatter cheese over the tomato
sauce. At this point, add roasted, peeled peppers, grilled vegetables, or any other
topping you desire. Return the pizza to the grill, cover, and bake, rotating it
once or twice to ensure even browning. It is done when the cheese is melted and
bubbling, the vegetables are heated, and the crust is cooked through and lightly
crisped or even charred a little bit (about 10 minutes).
Transfer the pizza to a cutting board and let stand for 5 minutes before cutting.
Repeat with remaining ingredients. Rake in additional coals if the grill becomes
too cool for the third and fourth pizzas.