Combine marinade ingredients in small bowl. Place beef steak and marinade in food-safe plastic bag; turn to coat. Close bag securely and marinate in refrigerator 6 hours or as long as overnight, turning occasionally.
Remove steak; discard marinade. Place steak on grid over medium, ash-covered coals. Grill, covered, 20 to 23 minutes (over medium heat on preheated gas grill, times remain the same) for medium rare (145F) doneness, turning occasionally. Do not overcook. Remove; let stand 10 minutes. Carve into thin slices.
Cook's Tip: To broil, place steak on rack in broiler pan so surface of beef is 3 to 4 inches from heat. Broil 27 to 29 minutes for medium rare doneness, turning once.