Preheat barbecue and lightly oil grill.

Slice one lemon and one orange into 1/2-inch thick slices.

Divide the citrus slices between 6 wooden skewers.

Cut remaining lemons and oranges in half.

Grill citrus slices until caramelized and marked on both sides (about 2 minutes per side).

Remove grilled citrus slices from the grill.

Grill citrus halves cut side down until well-caramelized and warm (5-8 minutes).

Squeeze the juice from the grilled halves into a pitcher, ensuring to strain the juice.

Stir in liquid honey and a pinch of salt until dissolved.

Add white cranberry juice, chilled medium dry white wine, carbonated water, and ice to the pitcher.

To serve, put a citrus swizzle stick and a fresh mint sprig in each glass.