In the bowl of a food processor, combine the flours, yeast, salt and sugar; pulse to mix. Combine the hot water and oil in a measuring cup. With the motor running, gradually pour in enough of the hot liquid until the mixture forms a sticky ball. The dough should be quite soft. If it seems dry, add 1 to 2 tablespoons warm water; if too sticky, add 1 to 2 tablespoons of flour. Process until dough forms a ball, then process for 1 minute to knead.
Transfer the dough to a lightly floured surface. Coat a sheet of plastic wrap with cooking spray and place it, sprayed-side down, over the dough. Let the dough rest for 10 to 20 minutes before rolling.
Place a pizza stone or inverted baking sheet on the lowest oven rack; preheat oven to 500°F. or highest setting. Roll and top the pizza as desired and bake the pizza until the bottom is crisp and golden, 10 to 14 minutes.