Remove the steaks from the refrigerator.
Prepare the grill for direct grilling at searing temperatures and create an indirect zone that will register about 500°F air temperature. A charcoal fire is preferred. If you are using a Kalamazoo Hybrid Fire Grill, or a charcoal grill, you should usewood chunks or limbs that have been soaked in water. For this recipe, I used oak wine barrel staves. If you are using a gas grill, prepare some smoking envelopes.
Prepare the steak dust by combining all the ingredients in a spinning-blade-style coffee grinder that is dedicated to serving its life’s purpose as a spice grinder. You could also use a mortar and pestle.
Lightly score the tops and bottoms of the steaks in a cross-hatch pattern. This will create more surface area for browning, and the subsequent Maillard effect which builds incredible flavor. To score, lay a knife on its side and draw it across the surface of the steak. Make very shallow slices ¼ inch apart in two directions.
Brush the steaks on all sides with olive oil. Season liberally on all sides with the steak dust. A paste should form from the mixture as it rests before going onto the grill.
Prepare the basting mixture by combining all the ingredients in a small saucepan. Whisk together while bringing to a simmer. Let cool to room temperature.
Sear the steaks over the hottest part of the fire until nicely browned on the tops, bottoms and sides, about 5 minutes total.
Move the steaks to the indirect grilling zone or onto a raised rack, brush some of the baste onto the tops, add the chunks, chips or limbs to the hot zone to generate smoke and close the grill. Turn the steaks over and rotate them every 5 minutes, brushing the tops with baste each time and closing the grill in between. Start checking the doneness of the steaks after about 15 to 20 minutes. For medium rare doneness, remove the steaks from the grill when their internal temperature reaches 125°F. They will continue to rise in temperature to 130°F to 135°F. The total cooking time in the indirect zone should be between 20 and 30 minutes. The steaks should rest for 5 minutes before serving.