Prep: 30 minutes; Freeze: 6 hours
1. Place blackberries and sugar in blender, and process until smooth. Strain the mixture through a fine mesh sieve into a bowl; discard solids. Set blackberry puree aside. Puree the peaches in a blender; set aside. Puree honeydew and salt; set aside.
2. Spoon 2 tablespoons blackberry mixture into 6 (3-ounce) popsicle molds. Layer on 2 tablespoons peach puree. Spoon 2 tablespoons honeydew puree on top of peach layer.
Place sticks in center of molds. Freeze 6 hours or until thoroughly frozen.