Pulled Chicken Sandwiches with White Barbecue Sauce

White barbecue sauce, widely used in Alabama-style barbecue cooking, is known for its vinegary flavor and the use of mayonnaise as a base, rather than the usual tomato sauce. To prepare the sauce in advance, combine all the ingredients, store it in the refrigerator, and bring it to room temperature before serving.
Place 1/3 cup coleslaw on the bottom half of each bun; top with 1/2 cup chicken, 2 tablespoons white barbecue sauce, 2 slices of pickled cucumber, and cover the bun.