For a nonalcoholic version, leave out the rum and substitute with rice or almond milk to taste.
If desired, combine turbinado sugar and the 1/4 teaspoon cinnamon on a small plate. Rub rims of 10 martini glasses with the lime wedge. Dip rims of glasses into cinnamon-sugar to coat; set aside.
In a large pitcher combine almond milk, rice milk, superfine sugar, vanilla, and the 1/2 teaspoon cinnamon. Stir until sugar is dissolved; stir in rum.
Making one cocktail at a time, in a cocktail shaker shake 1/2 cup of the almond milk mixture with ice. Strain into a martini glass.