Preheat your Yoder Smoker YS640 pellet grill to 500ºF, set up for direct grilling with GrillGrates. Rub a thin layer of oil over the surfaces of the quartered cabbage and apples. Season moderately with House of Q Slow House BBQ Rub. Grill on the GrillGrates over direct heat until lightly charred, but not softened. Remove from the grill and place in the refrigerator to stop the cooking. Turn the grill down to 350ºF.
To make the slaw dressing, combine the mayo, sour cream and American Stockyard Smoky Mustard. Whisk together, taste and season with salt and pepper to taste.
Remove the cabbage and apples from the refrigerator. Cut out the cores. Slice thin. Combine the cabbage, apples, carrots and dressing in a bowl and mix well. Transfer to the refrigerator.
Break the chicken down into quarters. Remove the thighs/legs from the carcass, cutting through the joint the joins the two. Cut out the backbone so just the breasts and breast bone are left. Cut straight down between the breasts, through the breast bone, separating the breasts. Remove the wings from the breasts, cutting through the joint that joins the two.
Loosen the skin from the thighs/legs, but leave attached at the end of the leg. Season under the skin with the Cattleman’s Grill Ranchero Seasoning. Pull the skin back into place. Season the skin, as well. Season the bone-in breasts on all sides (not under the skin).
Transfer the chicken pieces to the second shelf of the grill. Cook until the internal temperature reaches 155ºF in the thighs, 150ºF in the breasts.
While the chicken is cooking, combine all of the Bourbon BBQ Sauce ingredients in a Lodge 8” cast iron skillet. Whisk gently to combine. Transfer to the grill. Place the skillet directly over the fire box. Bring to a simmer. Simmer for 5 minutes, stirring occasionally. Move to the indirect side of the grill.
When the chicken reaches 155ºF/150ºF, transfer to the GrillGrates, skin side down. Cook until the skin is brown and the thighs have reaches 165ºF-170ºF and the breasts have reached 160ºF-165ºF. Brush the Bourbon BBQ Sauce on the chicken. Let the sauce tack up for 1-2 minutes. Remove from the grill. Serve hot with the Grilled Apple Slaw.