Use a 3/8- or 7/16-inch melon baler to scoop out about 4 dozen cantaloupe and 4 dozen honeydew-melon balls. Transfer to a small bowl; set aside.
Pour 1 to 2 tablespoons of either type of lemonade into each 3-ounce mold. Arrange three melon balls in the lemonade in the bottom of each mold.
Freeze molds until the lemonade begins to set, about 15 minutes. Add five melon balls to each mold. Insert a wooden pop stick into each pop, then pour remainder of lemonade evenly into each mold. Freeze until firm, at least 1 hour. Pour in 1 tablespoon contrasting color of lemonade to form the stripe at the base of the umbrella when unmolded. Pops will keep, frozen in their molds, for at least 3 weeks.