1. Clean raspberries and blackberries. Add enough cleaned and chopped strawberries to equal 3 cups. Puree in blender. Push through fine mesh strainer; you should have 2 cups. Return to blender with lime juice, rum and superfine sugar. Blend until smooth. Add crushed ice and blend.For Mango Daiquiris:
2. Slice mango from stem end to bottom, parallel to flat seed on either side; cut down to but not through skin of each slice in a cross-hatch pattern. Push skin side up and out; cut cubes off. In blender, combine cubed mango, lime juice, rum and superfine sugar. Blend until smooth. Add crushed ice and blend.