Position an oven rack in the lowest position and place a pizza stone on it. Preheat the oven to its highest setting, 500°F or higher, for 30 minutes to 1 hour.
While the oven is preheating, allow the dough to come to room temperature on the counter. Toss the chicken with 2 tablespoons of the barbecue sauce and set aside.
Cut a piece of parchment to fit your pizza stone and place the dough on it. Use your fingers to gently press and stretch the dough into a large circle. Spread with the remaining barbecue sauce, then scatter the chicken on top. Sprinkle the pizza with the Gouda and mozzarella cheese, then top with the onion.
Carefully transfer the parchment with pizza onto the pizza stone. Bake for 10 to 12 minutes, until crust is browned and cheese is bubbly. Sprinkle the cilantro on top just before serving.