Place first 3 ingredients in a 1-qt. canning jar. Add bourbon; cover with metal lid, and screw on band. Let bourbon stand at room temperature 4 days.
Shake jar to distribute flavors. Pour bourbon mixture through a fine wire-mesh strainer into a pitcher, discarding solids. Stir in Simple Syrup, and pour into a clean 1-qt. canning jar or 3 to 4 small bottles. Cover and store in refrigerator up to 2 months.