Prep. Make the dough 1 to 3 days in advance and store, wrapped in a container with room for it to expand in the fridge. Fire up. Preheat the grill to high. Shoot for 450 to 500°F (232 to 260°C). If you wish to use a pizza stone, put it on so it will heat slowly and get good and hot. But a stone is not necessary. Most of the time we just use a 14" (427 cm) aluminum pan.
Make the toppings. Stem, seed, and chop the tomatoes and peppers. Thinly slice the onion, and chop the capicola into 3/4" (1.9 cm) chunks. Grate the mozzarella and provolone.
Roll out the dough. Coat the pan with oil. Throw some flour on the counter and roll out the dough until it is about 15" (38 cm) diameter. Place the dough in the pan and as it shrinks, spread it to the edge with your fingers. Don't worry if it is not perfectly round.
Add toppings. With a pastry brush or spray bottle, lightly coat the top with olive oil. Now the sauce goes on. Take it all the way to the edge because it will give great color as it cooks. Then the parm, herbs, onion, olives, red pepper, capicola, salt and pepper, and the rest of the cheese. Spread it out evenly.
Cook. Grill in the pan or on a preheated stone until the cheese bubbles and the bottom is golden brown brown.
Serve. Slice the pizza and serve immediately.