Rinse and drain rice. Place rice, cinnamon sticks and 3 cups of water into a bowl. Cover and refrigerate overnight, or at least 6 hours.
Add soaked rice mixture to a blender, discarding cinnamon sticks. Blend until smooth. Pass puree through a fine mesh strainer, pressing on solids to extract as much liquid as possible. Discard solids.
Add remaining 3 cups water and Splenda Coffee Creamer, whisking to combine. Cover and refrigerate until cool.