Combine first 7 ingredients in a large ziptop bag. Add steaks. Turn to coat. Refrigerate for 4 to 12 hours, turning bag occasionally.
Remove steaks from bag and blot dry. Season well with salt and pepper. Let sit at room temperature for 30 minutes.
Heat grill to medium-high. Add steaks and grill for 8 to 10 minutes,
turning once. Let rest 5 minutes before serving.