Preheat the grill for indirect heat. If you have a 3 or 4 burner set up, leave the middle burner(s) off and light the others to high (we may adjust these later, some grills get hotter than others).
While the grill is heating up, rub the chicken breasts with some Kosher salt and black pepper. It's best to leave the chicken breasts out for 30 minutes or so before grilling, if you have time, so that the chicken cooks through evenly. We are talking ROOM temperature here people, not outside in the humidity, inside on the counter!
If using a smoke pouch, go ahead and prepare the pouch and place it on the grill.
Once the grill is heated (if using a smoke pouch, wait until the smoke starts to appear), place the chicken breasts on the grill with the bones facing down.
Close the grill and sit back, check out a game or just dream about barbeque chicken for about 35 minutes and don't open the lid!
After about 35 minutes, open the lid and brush your favorite barbeque sauce onto the top of the chicken.
Close the lid and cook for another 10 minutes or so. Make sure you check your chicken after about 5 minutes. Barbecue sauce has a lot of sugar and sugar burns, so we need to be careful not to burn the sauce at this point.
10 minutes should be plenty of time to heat up that delicious barbeque and form a little bit of a glaze on the chicken. Go ahead and remove the chicken from the grill and place on a platter to enjoy!