Prepare smoker for cooking, heating to 180 to 200 degrees F.
Season brisket with spice rub on both sides and then place in smoker. Smoke for 8 hours. Remove brisket to a platter and leave smoker on.
Cut burnt ends (blackened portion) from lean section of smoked brisket and then chop into cubes. Place chopped pieces in a large pan with holes. Smoke for 1 1/2 hours, or until dried out. Remove pan from smoker and transfer brisket cubes to a large pan without any holes. Stir in favorite BBQ sauce, and then return to the smoker for an additional 1 1/2 hours. Burnt ends may be combined with baked beans or served on a sandwich.