In a large resealable plastic bag, combine the first seven ingredients; add the steak. Seal bag and turn to coat; refrigerate for 6 hours or overnight.
Drain and discard marinade. Using long-handled tongs, dip a paper towel in cooking oil and lightly coat the grill rack. Grill steak, covered, over medium heat or broi 4 inches from heat 9-11 minutes on each side (for us it was maybe 8 minutes total (on the bbq), it depends on the thickness of your steaks).