To freeze your own peaches, peel and slice them into 1/4-inch wedges; lay them flat in a freezer bag, and freeze until hard, 30 minutes to 1 hour.
Place ice, strawberries, banana, peach, rum, sour mix, and Cointreau in a blender. Blend until smooth. Adjust consistency by adding more ice or fruit as needed. Garnish with fresh fruit, and serve immediately.