I was at Canon in Seattle and after a couple rounds, I asked one of the bartenders to make me some kind of Shim. What I got was a delicious and well balanced low-alcohol cocktail based on a half ounce of Peychaud's Bitters! After chatting some more, I learned that he had also used Lillet Rosé. Once I acquired a bottle of Lillet Rosé at home, I set out to attempt to replicate that delicious cocktail. This is very close. Since it was a Roulette drink, it wasn't on their menu or in their Pacific NW Gentleman's Conpanion - I just made up the name for it because it's a Peychaud's based Shim.
0.5 oz Peychaud's Bitters
2.0 oz Lillet Rosé
0.5 oz Grapefruit juice
0.5 oz 1:1 simple syrup
Shake all the ingredients with ice, then strain into a chilled coupe. No garnish. Repeat if you want - it's a Shim after all...