I have riffed on the Vieux Carré before with very pleasing results. This time, I was prompted by a broken cap on my resident bottle of Benedictine which forced me to try and use whatever I could. There are a lot of substitutions here, but I decided to keep the naming similar and use the French for "old alley".
1 oz white rum (I used the positively superb Plantation 3 Stars, which I cannot recommend highly enough)
1 oz Laird's Straight Apple Brandy (no substitutions, please)
1 oz Cocchi Americano
2 dashes Benedictine (~1/2 tsp)
2 dashes Angostura bitters
2 dashes orange bitters
Shake briefly or stir well and strain into a chilled cocktail glass. Garnish with an orange peel.