R. Elgar proposed more traditional Manhattan proportions for this, with 3/4 oz rosso vermouth and 1/4 oz Benedictine for 2 oz rye, which works well particularly if you offset the added sweetness of Benedictine by using a vermouth amaro if you want an aperitif cocktail rather than a dessert drink. I've now tried this with Punt e Mes, Dopo Teatro, and Tempus Fugit "Alessio" (which I also regard as a vermouth amaro), and all work well for that purpose. Elgar's early comment referred to "an absinthe...made in New Orleans," which had to be Herbsaint, and Marie T. Straus recommended Herbsaint, too, so I tried rinsing an Old Fashioned, per C. Lopez, with Herbsaint instead of absinthe; a very N'awlins touch.