To a high-speed blender add the ice, milk or half and half, instant coffee mixture, caramel syrup, xanthan gum, and granulated sugar. I would start with 1/2 tablespoon then add more if needed.
1/2 cup half and half, 1 cup crushed ice, 2 tbsp caramel syrup, 1/4 tsp xanthan gum, 1/2-1 tbsp granulated sugar