Deseed the Jalapeño Pepper (1).
Remove seeds from the Honeydew (1) and cube or scoop the flesh into a blender. Add the jalapeño pepper, Lime (1) and Fresh Basil Leaf (1 handful) to the blender. Blend until smooth.
Strain the mixture by pushing it through a fine mesh sieve with a spatula to remove pulp. Collect the juice and store in the refrigerator.
For each drink, combine the desired amounts of melon maragarita mix and Silver Tequila (to taste) into a cocktail shaker with ice. Shake vigorously and strain into a glass with ice.