For the BBQ sauce: Preheat a medium saucepot with EVOO over medium heat. Saut onion and garlic until soft and slightly caramelized; season with salt and ground pepper. Add the ketchup, mustard, brown sugar, maple syrup, vinegar, Worcestershire sauce and bourbon. Simmer over medium-low heat, stirring occasionally, about 20 minutes until slightly thickened.
For Pulled Chicken BBQ: Pull the meat from the chicken discarding the skin and bones. Place the meat into the large skillet with BBQ sauce; add a splash of chicken stock or water. Serve on buns or lettuce wraps with toppings of choice and some Cabbage Apple Slaw.
For BBQ Mushroom Sammies: Place a large skillet over medium-high heat with 1 turn of the pan of EVOO, about 1 tablespoon. Add the mushrooms to the pan and cook until golden brown, 7-8 minutes. Add the onion, garlic and bell pepper to the pan and season liberally with salt and pepper. Continue cooking until the veggies are tender, 5-6 minutes more. Add the BBQ sauce and serve on buns or lettuce wraps with toppings of choice and some Cabbage Apple Slaw.
For the Cabbage Apple Slaw: Whisk together the oil, vinegar, sugar, salt, lemon juice and onions; season with salt and some pepper. Add the cabbage and apples, and toss to combine.