Combine vegetable oil and next 6 ingredients in a shallow baking dish or large zip-top plastic freezer bag; add steak, turning to coat. Cover or seal, and chill 8 hours, turning occasionally.
Remove steak from marinade, discarding marinade.
Grill, covered with grill lid, over medium-high heat (350° to 400°) 8 to 10 minutes on each side or to desired degree of doneness. Let stand 5 minutes; cut into thin slices diagonally across the grain.