Before your guests arrive, prepare a couple pitchers of strawberry-lime mix for them to make their frozen drinks with. For eight servings, mix white sugar, strawberries and lime juice together in a blender until the strawberries are pureed. Pour into a pitcher and let it chill in the refrigerator.
Keep bags of ice in a cooler near the cocktail station so friends can easily add more to the ice shaver as needed. To create these refreshingly sweet drinks, all you need to do is scoop ice into a cocktail glass and pour in rum and strawberry-lime mix.