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1. For Spicy Chili Rub: Mix all ingredients in small bowl.
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2. Apply dry rub liberally to all sides of brisket; wrap tightly in plastic wrap. Refrigerate for at least 2 and up to 48 hours.
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3. For Brisket: About 1 hour prior to cooking, remove the brisket from the refrigerator, unwrap, and let it come up to room temperature. Soak the wood chips in cold water to cover for 30 minutes and drain. Place them in a foil tray.
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4. Place the tray on top of the primary burner. Light all the burners and turn to high, cover, and heat until the chips are smoking heavily, about 20 minutes. Scrape the cooking grate clean with a grill brush. Turn the primary burner down to medium and turn off the other burner(s). Position the brisket, fat side up, over the cooler part of the grill. Cover and barbecue for 2 hours. (The temperature inside the grill should be a constant 275 degrees; adjust the lit burner as necessary.)
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5. Adjust an oven rack to the middle position and heat the oven to 300 degrees. Attach 2 pieces of heavy-duty foil, 4 feet long, by folding the long edges together 2 or 3 times, crimping tightly to seal well, to form an approximately 4 by 3 foot rectangle. Position the brisket lengthwise in the center of the foil. Bring the short edges over the brisket and fold down, crimping tightly to seal. Repeat with the long sides of the foil to seal the brisket completely. Place the brisket on a rimmed baking sheet. Bake until the meat is fork-tender, 3 to 3 1/2 hours.
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6. Remove the brisket from the oven, loosen the foil at one end to release steam, and let rest for 30 minutes. If you like, drain the juices into a bowl and defat the juices in a gravy skimmer.
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7. Unwrap the brisket and place it on a cutting board. Carve it on the bias across the grain into long, thin slices. Serve with plain barbecue sauce or with barbecue sauce that has been flavored with up to 1 cup of the defatted brisket juices.
