In a medium bowl mix the butter ingredients, including ¼ teaspoon of the salt.
Prepare the grill for cooking over high heat (500°F).
In a small bowl combine the rub ingredients, including the remaining 2 teaspoons salt. Lightly brush the steaks on both sides with oil and season evenly with the rub, gently pressing the rub into the meat. Allow the steaks to stand at room temperature for 15 to 30 minutes before grilling.
Grill the steaks over high heat, with the lid closed, until cooked to your desired doneness, 6 to 8 minutes for medium rare, turning once or twice. Remove from the grill and spread the butter on top. Let rest for 3 to 5 minutes. Serve warm.