Slice the peaches into wedges, feeling their soft, juicy flesh give way under your knife, releasing a sweet aroma.
Place the sliced peaches into a glass pitcher and gently muddle them with a muddler or the back of a spoon until they release their juice and become slightly mashed, creating a fragrant, pulpy mixture.
Pour hot water over the black tea bags in a separate container and steep for about 5 minutes, until the tea is rich, dark, and fragrant. Remove the tea bags and let the tea cool to room temperature.
Add honey or simple syrup to the muddled peaches, stirring gently to dissolve and incorporate the sweetness, which enhances the fruit's natural flavors.
Pour the cooled black tea into the pitcher with the muddled peaches and stir well, allowing the flavors to meld together.
Squeeze fresh lemon juice into the mixture to add brightness, then stir to combine all the flavors evenly.
Fill two glasses with crushed ice, then pour the peach bourbon tea mixture over the ice, filling each glass about three-quarters full.
Garnish each glass with a few fresh mint leaves, gently muddling them in the drink to release their aroma, and add a sprig for visual appeal.
Give the drinks a gentle stir to combine the flavors and chill thoroughly, then serve immediately with a straw or a stir stick.