Rub a tiny bit of butter on the cut side of the peaches and place that side on the grill grate.
Grill 8 minutes, or until grill marks are prominent and peaches are slightly softened.
Muddle peaches with bourbon and simple syrup.
Pour mixture into cocktail shaker with ice. After a couple shakes, strain into highball glass.
Top with ginger ale and garnish with fresh peach and thyme.