Once the cake is completely cool, combine 2 cups heavy cream, pudding mix, powdered sugar, and vanilla, and beat for two minutes (or until stiff peaks form), frequently scraping sides of bowl.
Place one completely cooled cake on the prepared foil-lined cardboard. Immediately spread the cream filling over it and smooth. Top with second cake. Using an offset spatula, smooth the edges.
Place two or four (depending on size) wide mouth glasses or jars in a cookie sheet or large baking pan. The pan must be larger than 13 x 9-inches. Set the cake on top of the glasses in the center of the sheet.
Pour cooled ganache over top layer of cake, and spread, using an offset spatula. Place the entire sheet (with the jars holding the cake) in the fridge for at least an hour. When ready to serve, scrape remaining ganache drips off bottom edge of board, and place on a platter or cutting board.
Refrigerate entire cake at least 2 hours or, preferably, overnight, and serve cake cold.