Freeze steak for 20 minutes or until firm. With sharp knife, slice across the grain into 1/4" thick diagonal slices. Arrange slices in shallow baking dish. Combine remaining ingredients; pour over meat. Cover; refrigerate several hours or overnight.
About 45 minutes before cooking, light the fire. Place grill 4" above the coals. Drain meat, reserving marinade. Gently lay strips across grill. Cook 3-4 minutes, turning once and basting with reserved marinade.