Heat the oven to 375 degrees. Butter 6 (4 to 5-inch) ramekins and sprinkle lightly with sugar to coat. In a medium nonreactive saucepan, combine the teas, cream, milk, and vanilla beans and heat over low heat. Simmer to flavor, about 20 minutes. Remove from the heat and allow to steep for an hour or so. Strain the mixture, return it to the saucepan, and add the honey. Scald over medium heat. Meanwhile, in a nonreactive bowl, combine the egg yolks, cornstarch, and 1/4 cup of the granulated sugar and mix well. Add a ladleful of the tea mixture to the yolks, stir to temper, and stir the mixture back into the saucepan. Cook, whisking constantly, until the mixture thickens to the consistency of thick custard, 6 to 8 minutes. Transfer to a shallow baking pan, cover the surface of the mixture with plastic film, and refrigerate to cool. The mixture can be held overnight. Place a heavy cookie sheet in the oven. Using a mixer, beat the egg whites at low speed with 1 tablespoon of the sugar until soft peaks form. Add the remaining 3 tablespoons of sugar, increase the speed to high, and whip the egg whites in 2 (3-second) burst. Transfer the cooled tea mixture to a large nonreactive bowl and whisk until smooth. You should have an equal volume of the tea mixture and the egg whites; if not, discard enough of whichever is in excess to make the quantities equal. Add the whites to the tea mixture and, using a spatual, fold until completely blended. Fill the ramekins to the top with the mixture and tap them on a work surface to disperse any air bubbles. Wipe away any mixture that spatters on the sides of the molds. Place the ramekins on the heated sheet and bake until the sides of the souffles, which have risen above the edges of the ramekins, are golden brown, about 12 minutes. After 6 minutes check to make sure that the souffles have not adhered to the sides of the ramekins, which will cause uneven rising; use the tip of a sharp paring knife to free any stuck portions Sprinkle the souffles with the confectioners' sugar and serve. Scoop the ice cream into the souffles at table.