Combine cranberries, sugar, cinnamon stick, ginger and orange juice in a saucepan. Simmer until cranberries have popped and juices are reduced, 30 to 40 minutes. Remove cinnamon stick and ginger, puree and pass through a strainer; stir in orange zest. Cool completely. Combine all but 1/4 cup coconut milk, maple syrup, salt, vanilla, ground cinnamon and cloves in a heavy saucepan. Bring to a simmer over medium heat.

In a small bowl, whisk remaining 1/4 cup coconut milk and cornstarch until smooth. Stir into coconut base and cook, stirring constantly, until the mixture thickens and coats the back of a spoon. Remove from the heat, stir in Cointreau, cover and chill at least 4 hours.

Freeze coconut base in an ice cream maker according to manufacturer’s directions. Spread half the ice cream in a large cake or bread pan, pour half the cranberry sauce over, and swirl in with a knife. Top with remaining ice cream and cranberry sauce and swirl again. Freeze for a few hours or overnight.

Special notes:

No ice cream maker? Swirl the cranberry sauce into any of your favorite prepared ice creams! Allow the ice cream to soften at room temperature then transfer to a cake or bread pan and follow the directions above.