Combine the wine, triple sec, brandy, cherry bitters, frozen peaches and mango, and basil in a large pitcher and chill at least 4 hours, preferably overnight.
When ready to serve, skim the basil off the surface with a spoon or small strainer.
Divide the fruit from the pitcher into 8 large wine glasses and top each with 4 fluid ounces of the wine mixture, followed by 3 fluid ounces of Cheerwine.
Finish by squeezing an orange quarter into each of the glasses (I usually let the drinkers do this) and garnish with an orange slice.
Drink and repeat, responsibly of course, which means hide all the car keys.