Make the cinnamon-vanilla vodka; Pour the vodka into a jar; add the cinnamon sticks and cover. Store in a cool, dark place, shaking the jar every day or so, for 1 week. Strain; discard the cinnamon sticks.
Make the martini; Coat the rim of a martini glass with marshmellow cream (if it's too thick for rimming the glass, mix with some water.) Sprinkle some graham creacker crumbs and cocoa powder on the marshmellow cream. Lightly toast the marshmellow rim with a kitchen torch.
Put 1 oz. of the cinnamon-vanilla vodka, the Drambuie, chocolate liqueur and chocolate bitters in a cocktail shaker filled with ice; shake until frothy. Strain into the prepared martini glass. Rinse out the shaker and refill with ice. Add the heavy cream and honey and shake vigorously (without the ice) until slightly thick. Spoon the heavy cream mixture over the cocktail. Garnish with a toasted marshmellow.
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