Start coals and set up for indirect heat. Prepare the coals for indirect cooking and add 4-5 pieces of lump hardwood (such as oak) on top of the coals. Place the Kettle Pizza on top and cover. When grill reaches 700 degrees you can start cooking.
Divide the dough in half and prepare one pizza a time. Sprinkle a wooden pizza peel with cornmeal and stretch out the dough until it is nice and thin.
Top with mozzarella, chicken, gorgonzola, peaches, and drizzle with balsamic vinegar.
Use the peel to transfer the pizza to the pizza stone and cook for 3-5 minutes turning halfway through.
Cool for a minute or two, slice and enjoy