1. Combine instant coffee and cinnamon sticks in a 4-cup measure; add hot water and aromatic bitters. Sweeten to taste with the granulated sugar; cool.
2. When ready to serve, beat cream with 10X sugar until stiff in a small bowl.
3. Pour cooled coffee mixture over crushed ice in stemmed glasses, discarding cinnamon sticks. Top each with a generous spoonful of the whipped cream; sprinkle with the grated orange rind.