To make the hot honey: combine all ingredients in a microwave-safe jar or glass. Heat 1 minute on high. Stir, then zap an additional 20-30 seconds until the granules dissolve. Leftover hot honey will keep up to 2 weeks in the fridge.
In a shaker, combine the vodka, peach puree, peche de vigne, lemon juice, and hot honey. Fill with ice and shake until cold.
Pour into a coupe glass. Add a couple slices of peach and a basil leaf to a skewer for garnish. Enjoy!
Keyword cocktail, drinks, fourth of july, hot honey, martini, memorial day, peach, summer, vodka