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Sprinkle brisket evenly with salt. Sprinkle evenly with Horn rub, gently massaging into brisket to adhere. Let stand at room temperature until ready to use.
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Prepare a charcoal fire in smoker according to manufacturer's instructions. Place oak chunks on coals. Maintain internal temperature at 250°F for 15 to 20 minutes. Smoke brisket, covered with smoker lid, until a thermometer inserted in center of brisket registers 150°F, about 4 hours. Remove brisket, and wrap tightly in aluminum foil. Return brisket to smoker, and smoke, covered, until a thermometer inserted in brisket registers 185°F, about 2 hours.
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Remove brisket from smoker; unwrap and cut into 3/4-inch cubes, discarding any large seams of fat. Place brisket cubes in a deep 13- x 9-inch aluminum foil baking pan; add bourbon sauce, and stir to coat. Drizzle brisket evenly with honey.
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Increase smoker temperature to 275°F, adding more hot coals and wood chunks as needed. Place baking pan with brisket in smoker, and smoke, covered, until liquid has reduced and caramelized, 2 to 3 hours. Remove brisket from smoker, and serve immediately with white bread, if desired, and additional Bourbon Sauce, or cover and keep warm up to 30 minutes.