Prepare the outdoor pizza oven or grill for cooking pizza. See our instructions on how to cook pizza on the grill.
Cook the bacon in a skillet until done but not crisp. Reserve.
Toss the mushrooms in olive oil and season liberally with salt and pepper. Either place them in the pizza oven on a fajita skillet and roast until browned, about 5 minutes; or grill them directly over a hot fire on the grill for about the same amount of time. Remove from heat and reserve.
Form one dough ball to roughly a 12-inch pizza crust. Depending on your personal preference, place the dough on a pizza peel with enough flour or corn meal beneath to allow the pizza to slide easily — or assemble your pizza on the work surface and then slide the peel underneath at the last minute. Either way, the less time the dough spends on the peel, the less likely it is to stick.
Top the dough with half of each type of cheese, half the mushrooms and half the bacon. Transfer to the oven or grill and cook until the crust is done.
Enjoy!