Remove and discard rind and seeds from melon and cut enough fruit into 1/2 inch cubes to measure 3 1/2 cups. Freeze melon cubes in a sealable plastic bag at least 3 hours and up to a week.
Puree frozen melon cubes in a blender with remaining ingredients until smooth. Pour drink into 4 stemmed glasses.
Per serving: 205 calories; 0.5 g fat (3.4% calories from fat); 0.8 g protein; 28.6 g carbohydrate; 0 mg cholesterol; 15 mg sodium