Combine the flour, sugar and yeast in the basin of a food processor with the dough blade attached. Pulse a few times to mix thoroughly.
Turn the food processor on low. Slowly pour in the water. Mix until fully combined, about 15 seconds. Turn off the machine and let dough rest for 10 minutes.
Add the oil and salt to the dough and turn the machine on low until fully mixed into a sticky ball.
NOTE: If you don't have a food processor, you can mix the dough by hand.
Transfer the dough to a lightly floured surface and knead by hand for about 1 minute, until the dough is smooth. Shape the dough into a ball and place in a lightly oiled bowl, covered with plastic wrap.
Refrigerate the dough for at least a few hours or for up to 3 days.
Spread the flour onto a flat dry surface. Form the dough.
Spread on the pizza sauce and top with mozzarella cheese and pepperoni (or other toppings, as you wish).
Preheat the smoker to 400°F (205°C).
Place the pizza directly on the grill rack, pizza pan, or on a preheated pizza stone.
Smoke for 10 minutes. Rotate and smoke for another 5 minutes, or until the toppings are bubbly.