The Vieux Carré is a classic cocktail that was created by Walter Bergeron at Carousel Bar inside the Hotel Monteleone in New Orleans, Louisiana. Similar to the Sazerac, another drink inspired by The Big Easy, it's made with whiskey and Creole bitters, but it splits the base spirit with brandy and adds sweet vermouth, Bénédictine, and aromatic bitters for more complexity.
Add rye, brandy, Bénédictine, sweet vermouth, and bitters to a mixing glass.
Fill mixing glass with cubed ice.
Using a bar spoon, stir for 30-45 seconds until well-chilled and slightly diluted.
Add a clear ice cube to a lowball glass.
Using a julep strainer, strain into lowball glass.
Garnish with orange peel.