Slice the peaches into thin wedges, removing the pits, and place them in a tall glass.
Pour the cooled black tea over the peaches, filling the glass about three-quarters full.
Add the honey or simple syrup and squeeze in fresh lemon juice, stirring gently with a spoon to dissolve the sweetener and combine flavors.
Gently muddle a few mint leaves in the glass to release their herbal aroma, being careful not to tear them too much.
Fill the glass with crushed or cubed ice, creating a frosty mound on top.
Slowly pour the bourbon over the chilled mixture, watching as the deep amber swirl blooms through the golden tea, creating a stormy pattern.
Stir gently to integrate the bourbon with the tea and fruit, ensuring the flavors meld perfectly.
Finish by adding a sprig of mint on top for aroma and a fresh visual touch.
Serve immediately, with a straw or a stirrer, and enjoy this vibrant, refreshing peach bourbon iced tea.