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1
Prepare Homemade Pizza Crust.
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2
For topping: In a large nonstick skillet, cook onion in 2 teaspoons of the hot oil over medium-high heat about 3 minutes or until crisp-tender; remove onions from skillet with a slotted spoon.
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3
Add 1 teaspoon oil, the chicken and garlic to skillet; cook and stir until chicken is no longer pink, about 4 minutes.
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4
Stir in barbecue sauce.
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5
Heat through.
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6
Transfer to a bowl; cover and keep warm.
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7
Add banana pepper rings to onion; set aside.
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8
For pizza: Roll out pizza dough into four equal circles.
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9
Brush tops with olive oil.
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10
For a charcoal grill, carefully slide 2 of the pizza dough circles, oiled side down, onto a lightly oiled rack of an uncovered grill directly over medium-hot coals.
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11
Grill for 1 to 2 minutes or until dough is puffed in some places and starting to become firm.
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12
Carefully turn the crusts with tongs, transferring them from rack to the back of a baking sheet.
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13
Working quickly and carefully, brush oil over grilled top of crust.
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14
For each pizza, sprinkle with 1/2 cup of the smoked mozzarella and 1/4 cup of the Asiago.
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15
Top with 1/4 of the chicken mixture and 1/4 of the onion mixture.
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16
Transfer the pizzas from the baking sheet to the rack.
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17
Grill for 1 to 1-1/2 minutes more or until cheese is melted and crust is crisp.
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18
Remove pizzas from grill.
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19
(For a gas grill, preheat grill.
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20
Reduce heat to medium-hot.
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21
Place dough circles on grill rack over heat.
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22
Cover and grill as above.)
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23
Repeat grilling with remaining 2 dough circles and toppings.
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24
Transfer pizzas to a cutting board.
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25
Top with basil.
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26
Serve immediately.