Add all the ingredients except the lemon halves to a large punch bowl.
Squeeze the juice from the lemon halves into the punch.
Chill with a large block of ice.
Serve in rocks glasses over solid cubes of ice or shaved ice.
Garnish with lemon and peach slices.
*Honey syrup: Combine 3 parts honey to 1 part hot water, and stir until the honey has dissolved.