Slice the peaches in half, removing the stones, then carefully cut into thin slices, watching for juicy drips.
Drop the peach slices into a large pitcher, then add a handful of ice cubes directly on top.
Pour the cooled, strong black tea over the peaches and ice, filling the pitcher about three-quarters full.
Add honey or simple syrup to the tea mixture, then stir gently to dissolve and blend the flavors.
Slowly pour the bourbon into the pitcher, listening for a soft splash, then stir gently to combine everything evenly.
Using a muddler or the back of a spoon, gently press a few mint leaves in a small bowl to release their aroma, then add them to the pitcher.
Stir the mixture again, ensuring the peach slices, mint, and bourbon are well integrated and chilled.
Fill glasses with additional large ice cubes, then pour the cocktail over the ice, allowing the vibrant peach slices and fragrant mint to float on top.
Garnish each glass with a sprig of mint and a few peach slices for a colorful, inviting presentation.
Serve immediately with a straw or stirring spoon, enjoying the crisp, fruity flavors and refreshing chill.