DO-AHEAD TIP: Marinate chicken for 30 minutes (see recipe).
Preheat grill to MEDIUM. In a large zipper-topped plastic bag, combine first 6 ingredients (garlic through black pepper).
Add chicken, seal the bag and gently massage marinade into chicken. Refrigerate for 30 minutes. Lightly oil the grill grate.
Grill chicken over indirect heat for 6 to 8 minutes per side or until juices run clear. Watch carefully to prevent burning! Top each chicken breast half with a slice of cheese and serve when melted. Enjoy!