In a small pan, combine the sugar, water, and 1/2 teaspoon of blue Fun Dip. Bring it to a bubble over high heat, then reduce to a simmer for about 10 minutes, stirring often so it does not turn into candy.
Remove the syrup from the heat and let it cool slightly. Meanwhile, melt the white chocolate chips, coconut oil, condensed milk, and evaporated milk together in a pot or double boiler over medium-low heat.
Once the white chocolate starts melting, pour in the syrup and stir everything together until smooth.
Remove from heat and stir in 1 to 1 1/2 packs of the remaining blue Fun Dip. Add neon blue food dye and a few drops of neon red food dye, if using, until the color is bright and electric.
Pour the sour blue drizzle into a squeeze bottle and refrigerate for 30 to 60 minutes, until thickened.
While the drizzle chills, blend the mango slices with the mango juice until completely smooth. Add the coconut puree or coconut syrup and blend again.
In a small bowl, whisk together the powdered sugar and dry pink food coloring until fully combined. Set aside for the topping.
Add the vanilla ice cream, ice, and milk to the blender with the mango mixture. Blend until smooth, thick, and frappuccino-like.
Add a few drops of neon food dye and blend once more until the color is bright and vibrant.
Drizzle the chilled sour blue mix around the inside of your serving cup, coating the sides.
Pour the mango-coconut frappuccino base into the prepared cup.
Top generously with whipped cream, then sprinkle with a little extra blue sour mix and a dusting of the dry pink food coloring. Enjoy immediately while ice cold and swirled with color.