3 tablespoons light agave nectar
1 pound ripe peaches, sliced and frozen, plus more for serving
1/4 cup plus 2 tablespoons peach nectar
1 tablespoon packed mint leaves, plus sprigs for serving
Puree vodka, agave, peaches, and nectar with 1 cup crushed ice (or small ice cubes) in a blender, adding cold water a few tablespoons at a time, until thick and smooth. Add mint leaves; puree just until finely chopped. Serve with peach slices and mint sprigs.