Cook cranberries, sugar, and water in a saucepan over medium heat 5 minutes or until sugar dissolves, liquid begins to turn a light pink color, and cranberries just begin to pop. Let cool slightly (about 10 minutes). Pour mixture into a large glass jar; stir in moonshine and orange rind strips. Let stand at room temperature 3 days. Pour through a fine-wire mesh strainer into a bowl; discard solids. Return moonshine mixture to jar. Store in refrigerator up to 2 months.
Note: We tested with Junior Johnson's Midnight Moon Carolina Moonshine (piedmontdistillers.com).
Note: Total time does not include 3 days for infusing.