Let steaks stand at room temperature 15 to 20 minutes. Rub steaks evenly with steak seasoning.
Grill, covered with grill lid, over medium heat (300° to 350°) 2 1/2 minutes. Using tongs, turn each steak at a 60-degree angle, and grill 2 1/2 more minutes. Flip steaks, and grill 2 1/2 minutes. Turn steaks at a 60-degree angle, and grill 2 1/2 more minutes (medium-rare) or to desired degree of doneness.
Remove steaks from grill, and brush evenly with butter. Let stand 5 minutes.
Note: For testing purposes only, we used McCormick Grill Mates Montreal Steak Seasoning.