Combine the buttermilk, beaten egg, hot sauce, 1 teaspoon of basil, granulated garlic and white pepper and mix well. Add the oysters and any liquid from shucking. Cover and refrigerate 15 minutes.
In a shallow bowl, combine the panko, cornmeal, flour, remaining basil, granulated garlic, cayenne, 1 teaspoons salt, pepper and paprika and mix well.
Heat the oil to 350 degrees F in a large cast-iron skillet.
Drain the oysters from the buttermilk mixture and dredge through the breading mixture, pressing gently to adhere. Carefully add to the hot oil in batches, to not crowd, and cook 3 to 4 minutes per side. Remove to a paper towel-lined plate and season with the remaining kosher salt while hot.