Mix first 7 ingredients in medium bowl. Using fork, mash in garlic. Using 3 tablespoons spice mixture for each steak, rub spices onto both sides of steaks.
Whisk corn oil into remaining spice mixture; set oil rub aside.
Place steaks in two 13x9x2-inch glass dishes. Cover; chill steaks and oil rub at least 4 hours and up to 1 day.
Prepare barbecue (medium-high heat).
Brush steaks with some of oil rub. Grill steaks to desired doneness, brushing occasionally with oil rub, about 5 minutes per side for medium-rare; let stand 5 minutes.