Smoke the sliced mushrooms in an oven at low heat for about 2 hours. Wrap them in aluminum foil, so that they nicely retain the smokey flavor and natural moisture.
Preheat your oven to the temperature specified on your pizza dough package or to 450°F (230°C) if using homemade dough.
Roll out the pizza dough on a floured surface to your desired thickness and transfer it to a greased pizza pan or one lined with a baking sheet.
Brush the BBQ sauce evenly over the surface of the pizza base, leaving a thin border around the edges for the crust.
Distribute the smoked Chicken of the Woods mushrooms, red onion, tomatoes, and red bell pepper on top of the BBQ sauce.
Sprinkle the shredded mozzarella cheese evenly over the pizza toppings.
Season with herbs, salt, and pepper to taste. Drizzle a little olive oil over the top for added flavor.
Place the pizza in the preheated oven and bake for about 15-20 minutes, or until the crust is golden brown and the cheese has melted to your liking.
Remove the pizza from the oven and let it cool for a few minutes.
Slice up the pizza and serve it hot with chilled drinks.