Slice open one of the hot chiles and remove and discard the seeds. Slice off a 1-inch piece, and discard the rest. Reserve the second chile, whole, for garnish.
Gently muddle the piece of chile in a cocktail shaker. Add the ice, apple juice, lime juice, and simple syrup, and shake well. Fill a highball glass with ice, and strain the juice into it. Stir in the club soda, and garnish with the remaining whole chile and a single lime wedge.