4 ripe unpeeled peaches, pitted and coarsely chopped
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1 ½ cups white sugar
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1 cup water
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3 sprigs basil, tied together with string
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ice cubes, divided
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1 ½ fluid ounces bourbon
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3 dashes aromatic bitters (such as 18.21 Prohibition Aromatic Bitters)
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2 fluid ounces lime-flavored sparkling water (such as La Croix®)
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1 slice peach
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1 leaf basil
Instructions
Combine chopped peaches, sugar, water, and 3 sprigs basil in a small pot over medium heat. Simmer, stirring occasionally, until sugar dissolves, about 5 minutes. Cool syrup to room temperature, about 10 minutes. Discard basil sprigs.
Pour syrup into a Mason jar, seal, and refrigerate until completely chilled, about 1 hour.
Measure 3 fluid ounces of syrup and peaches into a cocktail shaker; muddle to break peaches up. Add 4 ice cubes, bourbon, and bitters; cover and shake vigorously until ice is mostly melted. Pour into a chilled 8-ounce glass; add remaining 4 ice cubes. Gently stir in sparkling water. Garnish with a peach slice and basil leaf.