Place marinade ingredients in a blender or food processor; process until blended. Place steaks in a large resealable plastic bag. Pour marinade over steaks and turn to coat. Seal bag and marinate steaks in the refrigerator for at least 2 hours.
Preheat a grill to medium heat.
Remove steaks from marinade; discard marinade. Place steaks on grill over medium, ash-covered coals. Grill steaks, covered, 10 to 14 minutes for medium rare to medium doneness, turning occasionally. Season with salt and pepper, to taste.
Meanwhile, heat cheese in small saucepan over medium-low heat until melted, stirring frequently, about 2 to 4 minutes. Serve steaks with cheese sauce.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.