Combine all ingredients in a shaker and dry-shake (without ice).
Add ice and shake again to emulsify thoroughly.
Strain into a chilled coupe glass, and garnish with a lavender sprig.
*Honey syrup: Add .5 cup honey and .5 cup water to a small saucepan over medium heat. (You can experiment and decide how much of a honey flavor you want in your syrup. The more honey you use, the thicker the syrup and stronger in flavor it will be.) Stir until blended. Strain into a jar and seal tightly with a lid. Will keep for 1 month in the refrigerator.