Prepare a medium-hot fire in a charcoal grill with a cover, or preheat a gas grill to medium-high.
In a small mixing bowl combine the mayonnaise, apple cider vinegar, lemon juice, sugar, and black pepper. Mix until well combined and refrigerate until serving.
Heat a large fireproof nonstick skillet on the grill. Add the bacon and cook over medium-high heat until the bacon is crispy, about 5 minutes, flipping once. Drain on paper towels. Reserve the rendered bacon fat from the skillet.
Combine the pork, smoked paprika, chili powder, cayenne, salt, and pepper in a large bowl. Add 1 1/2 tablespoons of the rendered bacon fat from the skillet. Mix well, handling the meat as little as possible to avoid compacting. Divide the mixture into 6 equal portions and form the portions into patties to fit the size of the rolls.
Brush the grill rack with oil. Arrange the patties on the rack, cover, and cook, turning once just until done, about 4 minutes on each side for medium-rare. During the last few minutes of cooking, top the burgers with equal amounts of smoked Gouda and put the rolls, cut side down, on the outer edges of the rack to toast lightly.
To assemble the burgers, spread a generous amount of Alabama White Barbecue Sauce on the cut sides of the rolls. On each roll bottom, put some shredded cabbage, a cheese-topped patty, and 2 slices of bacon. Cover with the roll tops and serve.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.