To make the ice cubes mix the water and dill and pour into an ice cube tray. Freeze overnight.
For the cooler muddle sugar, mint, lemon and lemon slices in base of cocktail shaker, mashing slightly with end of rolling pin until sugar dissolves. Add tequila, vodka, melon and cucumber juice. Shake then strain and pour over dill ice cubes. Garnish with a sprig of mint, shaved cucumber and a little fresh dill. Serve with a straw.