Make the butter: In bowl, whisk together the honey and bourbon. Add butter and garlic and combine until incorporated, by hand or in the bowl of a food processor. On a piece of parchment paper, place butter in the form of a log. Wrap butter into a log shape, and refrigerate for 1 hour.
Heat grill to medium-high heat. Shuck oysters and remove butter from fridge. Cut butter into thin, 1/4 -inch pats. Place a pat of butter on each shucked oyster and place on the grill until butter melts and starts to bubble. Let butter sizzle for about 1 minute. Carefully move oysters from grill to a platter. Let cool for 1 to 2 minutes before serving.