Lay a pizza stone on the bottom rack of a cold oven, ensuring that there’s enough clearance above to transfer the pizza. Preheat the oven to 500 degrees F.
Make the truffled white sauce: in an upright blender combine the white beans, water, lemon juice, nutritional yeast, garlic, truffle oil, salt, and pepper. Blend the mixture on high until completely smooth. The consistency should be similar to that of a creamy salad dressing: thick, but drips off of a spoon. Set aside.
Fill a large saucepan or deep skillet/braiser with water and bring it to a boil over high heat. Place the chopped broccoli rabe into the water and cook for 1 minute. Drain the broccoli rabe and run cold water over it to stop the cooking process. Dry the broccoli rabe with paper towels and set aside.
Wipe out the saucepan/braiser and set it back over medium-high heat. Pour in the tablespoon of olive oil. Add the sliced shiitake mushrooms to the pan. Let them sear for 1 minute. Stir them up and add the paprika and garlic. Let the mushrooms sear for another full minute. Season with salt and pepper and stir. They should be glistening and soft. Take the mushrooms off the heat, scrape them into a bowl, and set aside.
Dust your working surface and a pizza peel with flour OR line it with a piece of parchment paper. Start stretching out the dough until you have a 12-inch circle of even thickness. Carefully transfer the dough circle to the floured/papered peel. If you use the paper method, trim the paper so that you have a ½ inch border around the circle of dough.
Top the pizza with the truffled white sauce, broccoli rabe, shiitake mushrooms, shallots, pepperoncini peppers, sundried tomatoes, and oregano.
Jiggle the pizza peel to ensure that the pizza will come loose. If it’s sticking, carefully lift up the edges and toss in a bit more flour until it seems to loosen from the peel.
Open the oven and with equal measures of care and efficiency, slide the pizza off of the peel and onto the hot stone with a few flicks of your wrist (or just pull a tab of the parchment paper). Close the oven immediately.
Let the pizza cook for 7 minutes. Open the oven and, using the peel, rotate the pizza. Cook for an additional 5 minutes, or until the top crust is browning in spots and you can see some light char on the mushrooms.
Remove the pizza from the oven. Give the pizza a light drizzle of olive oil before slicing and serving.