Heat a charcoal grill or set a gas grill to high; bank coals or turn off burner on one side. Grill steaks, without flipping, on hottest part of grill until browned, about 1 minute. Move steaks to the cooler part of the grill; grill until juices appear on top of steaks, about 4 minutes. Flip steaks and repeat grilling on the other side. Return steaks to hottest part of grill and, using a brush, baste with reserved marinade; continue to grill, flipping and brushing every few minutes, until caramelized and meat begins to shrink away from the bone, 10-12 minutes for medium rare or until an instant-read thermometer inserted into the thickest part of the steak reads 125°. If outside of steaks begins to burn before inside is cooked, move to the cooler section of the grill and continue grilling until cooked to desired doneness. Rest steaks 5 minutes; to serve, slice against the grain along the bone.