Combine cream, sweetener, vodka, vanilla extract, xanthan gum, and salt in a wide-mouth pint-sized jar. Blend cream mixture with an immersion blender in an up-and-down motion until cream has thickened and soft peaks have formed, 60 to 75 seconds. Cover jar and place in the freezer for 3 to 4 hours, stirring every 30 to 40 minutes.
Freezing for 3 to 4 hours produces the best consistency, however if you’d like to soften it a bit, 10 seconds in the microwave does the trick, or remove from the freezer 15 minutes ahead of time.
You can pulse granular sweetener in a blender or food processor to achieve a powdered consistency.
Use different flavored extracts for variety.
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