Preheat outdoor grill to 350ºF with grill lid closed.  Drain oysters, reserve liquor for other uses. 

Melt three tablespoons butter in a small saucepan over medium-high heat. Add garlic and black pepper; sauté one minute. Add oregano, basil, and thyme; sauté 30 seconds. Remove from heat and add remaining butter, whisking just until it melts; set aside. 

Place three oysters in each of 12 shells. Place shells on heated grill using long tongs. Grill two minutes or until oyster just begins sizzle. Carefully spoon two tablespoons seasoned butter evenly over oysters in each shell (watch out for grill-fire flare-ups). Sprinkle ine tablespoon cheese evenly over oysters in each shell. Grill additional three to five minutes or until oysters are fully cooked.

Serve immediately.