Combine sugar and water in a medium saucepan and bring to a boil over medium-high heat, stirring occasionally to help the sugar dissolve. Once boiling, reduce heat to medium and simmer for 3 minutes to create a light syrup. This brief simmer helps the sugar fully dissolve and creates the right consistency for the final syrup. Remove from heat and let cool for 1-2 minutes before proceeding.
While the syrup from Step 1 is still warm (but not actively boiling), stir in the powdered drink mix for 1-2 minutes until completely dissolved and the color is evenly distributed throughout. Add the light corn syrup and pinch of sea salt, stirring well to combine. The salt enhances the fruity flavor and prevents the syrup from crystallizing as it cools. Pour the finished syrup into a bottle or container and refrigerate until fully chilled, at least 30 minutes. I like to chill the syrup ahead of time so it's ready whenever the snow cones are assembled—this also makes the final product last longer without the ice melting too quickly.
Crush the ice into fine, snow-like crystals using a food processor, blender, or ice crusher—aim for a texture similar to shaved ice rather than chunky cubes. Divide the crushed ice evenly among serving cups, packing it down gently to create a compact mound. Drizzle the chilled syrup from Step 2 generously over the ice, allowing it to seep through and coat each crystal. For the best texture and appearance, serve immediately while the ice is still cold and fluffy.