Wash and pat the chicken dry. In a bowl, combine the salt, pepper, garlic powder, smoked paprika, brown sugar, and ground cumin. Rub the mixture all over the chicken, ensuring it's well coated.
Drizzle with olive oil, then let it rest for at least 30 minutes to allow the flavors to meld.
Preheat your smoker or grill to 230-250°F (110-120°C), and prepare the wood chips for your desired smoke flavor.
Place the chicken on the smoker rack and smoke for 2-3 hours, or until the internal temperature reaches 165°F (75°C).
In a small saucepan, combine the BBQ sauce, bourbon whiskey, honey, Worcestershire sauce, and apple cider vinegar. Simmer over medium heat for 5-10 minutes, or until slightly thickened.
When the chicken reaches an internal temperature of 158°F (70°C), brush it generously with the bourbon sauce. Continue smoking for another 20-30 minutes to allow the flavors to meld.
Remove the chicken from the smoker and let it rest for at least 10 minutes to allow the juices to redistribute.
Carve and serve with grilled vegetables or roasted potatoes.
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