Muddle the 3 lime wedges in a shaker. Then add all ingredients, then add lots of ice, then shake vigorously. Then pour everything into a large frozen glass.
The muddle'ing idea is fundamental to a Caipirinha and adds some extra lime tartness in concert & contrast with the Campari.
With so many choices resting on the bar, I chose these ingredients as possibilities for something whimsically delicious.