Carefully peel 4 prosciutto slices apart and place on cutting board in an even layer. Using a very sharp knife, halve each slice lengthwise to create 8 long strips
Roll 2 sheets of parchment paper to form 2 (1 ¼-inch diameter, 12-inch long) cylinders; seal ends with paper clips to prevent them from unraveling (you will remove the cups before they go in the microwave). Carefully wrap prosciutto strips around parchment cylinders, arranging strips 1-inch apart with seams aligned (4 strips per cylinder). Remove paper clips!
Place, seam-side down, on a microwave-safe plate lined with 2 layers of paper towels. Microwave on HIGH for 40 seconds. Rotate cylinders, then continue microwaving on HIGH in 10-second intervals, until prosciutto begins to crisp, about 20 to 30 seconds more. Transfer to a clean paper towel-lined plate.
Carefully slide crispy prosciutto rings off parchment cylinders and let cool completely.
Cut peaches into 16 even wedges (about ½-inch thick).
Carefully insert 1 peach wedge into each prosciutto ring
Place on a plate and drizzle with hot honey. Garnish with fresh mint.
