In a small bowl, muddle the mint leaves to release their oils. In a medium-sized pot, add the muddled leaves and the near boiling water. When the leaves are submerged in the water, carefully muddle them for another minute or so, being careful not to splash the hot water. Steep for 8 minutes. Add the tea bags to the mixture and steep for an additional 2 minutes. Meanwhile, fill a medium-sized pitcher with ice cubes and set aside. At the end of the 2 minutes, promptly remove the tea bags to avoid a bitter flavor. Using a fine mesh sieve to ensure that no leaves end up in the tea, pour the liquid into the pitcher. Add the honey and stir. Allow the tea to cool to room temperature before serving. When kept covered and refrigerated, the tea will keep well for about 3-4 days.