Method
Remove rind from brie and chop cheese.
Mash 2 avocados with a fork; stir in cheese and 2 tablespoons basil.
Sprinkle chicken with salt and pepper; loosen skin from chicken breasts without detaching it; spread avocado mixture evenly beneath skin.
Prepare a hot fire by piling charcoal or lava rocks on one side in a WEBER Charcoal or Gas Barbecue, leaving other side empty.
Arrange chicken, skin side up over empty side and grill, covered with grill lid, over medium-high heat (350 degrees to 400 degrees) 45 minutes or until chicken is done. (Do not turn chicken.)
Process remaining avocado, remaining basil, broth, and next 3 ingredients in a blender until smooth, stopping to scrape down sides. Serve with chicken.
Courtesy of the California Avocado Commission.