For mint syrup, in a small saucepan stir together sugar and 1/2 cup water. Bring to a simmer, stirring to dissolve sugar. Remove from heat. Stir in the mint. Let stand 20 minutes.
Meanwhile, in a heatproof pitcher pour boiling water over tea bags; steep 20 minutes. Remove tea bags. Pour cold water into tea mixture. Discard mint from syrup. Stir syrup into tea mixture. Cover; chill. Serve over ice. Drizzle with honey to taste.