The combination of honey and pineapple juice, along with the vinegar of the barbecue sauce emulates the effect of a shrub, which is made with sugar, vinegar, and fruit.
Make honey syrup. Dissolve honey in water in small saucepan over medium high heat. Let cool.
Combine bourbon, pineapple juice, honey syrup and barbecue sauce in mixing glass. Stir.
Prepare old-fashioned glass with honey and hickory smoked sea salt. Drizzle a little honey onto one half of a plate, and sprinkle sea salt on the other half. Rotate top of glass to coat rim in honey, then salt. Let honey drip down side of glass for effect.
Add large cube of ice to glass, then pour cocktail mixture over top of ice.