Here is a recipe from Cooks Illustrated that I have used in the past and have been happy with the results:
INGREDIENTS
1 first-cut (3- or 4-rib) beef standing rib roast , meat removed from bones, bones reserved, exterior fat trimmed to 1/8 inch (see note above)
1 tablespoon vegetable oil
Ground black pepper
1/4 cup kosher salt
Kitchen twine for tying roast, cut into four or six 2 1/2-foot lengths, (depending on number of bones)
2 cups wood chips (3-inch)
1 Large disposable aluminum baking pan
1. Rub roast with oil and season generously with pepper. Spread salt on rimmed baking sheet; press roast into salt to coat evenly on all sides. Tie meat back onto bones exactly from where it was cut, passing two lengths of twine between each set of bones and knotting securely. Refrigerate roast, uncovered, for 1 hour, then let stand at room temperature 2 additional hours.
2. Soak 2 cups wood chips in water for 30 minutes; drain. Place wood chips in small disposable aluminum pan; set aside. About 20 minutes before grilling, ignite grill, turn all burners to high, cover, and heat until very hot, about 15 minutes. Scrape grate clean with grill brush.
3. Turn off all but the primary burner (burner that will remain on during cooking). Place roast on grate over primary burner and sear on fat-covered sides until well browned, turning as needed, 8 to 10 minutes total. (If flare-ups occur, move roast to cooler side of grill until flames die down.) When thoroughly browned, transfer roast to cooler side of grill, bone side down, with tips of bones pointed away from fire. Place pan with soaked wood chips over primary burner. Cover grill, positioning top vent over roast to draw smoke through grill. Grill-roast between 225 and 250 degrees (do not remove lid for at least 1 1/2 hours) until instant-read thermometer inserted into center of roast reads 125 degrees for medium-rare, 2 to 2 1/2 hours.
4. Transfer roast to cutting board and let rest 20 minutes, lightly tented with foil. Remove strings and bones, cut into 1/2-inch-thick slices, and serve.
