Preheat half of a grill to medium-high heat. Mix together the honey and chile paste in a small bowl and set aside.
Dust work surface with flour. Press the pizza dough into a 10- to 12-inch round, using a rolling pin to ensure the dough is an even thickness. Place dough on grill over direct heat and grill until lightly charred and dough is still soft and pliable, 2 to 3 minutes per side. Remove from grill.
Drizzle the crushed tomatoes with some olive oil. Evenly spread the tomatoes over the grilled pizza crust, then top with mozzarella, pepperoni, Parmesan and a drizzle of olive oil. Place pizza back on the indirect heat (cold) side of the grill and close grill. Let cook until the cheese is melted and bubbling, 8 to 10 minutes. Drizzle the pizza with the chile honey and sprinkle with basil leaves.