For a nonalcoholic version, replace the vodka with an equal amount of water.
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.
