Bring 1 cup water to a boil in a small pot over high heat. Remove the pot from the heat. Add the tea bags, cover, and steep for 3 minutes. Discard the tea bags and stir in the honey. Let cool to room temperature. Meanwhile, cut one lime into quarters. In each of two high ball glasses, muddle two lime wedges, half the mint, and half the basil. Squeeze the juice from the remaining lime into each glass. Add a few large ice cubes, 1 ounce rum, 1/4 cup brewed tea, and 1/4 cup sparkling water. Stir, then garnish with mint and basil sprigs.