In a saucepan over medium heat, combine coconut milk, almond milk, cornstarch, cinnamon, salt and vanilla. Whisk occasionally for about 5 minutes. Transfer to a food processor or high powered blender. Add 2 cups of peaches, lemon juice and vodka. Blend until smooth and creamy.
Add to an ice cream maker and churn according to manufacturer's instructions. Transfer to a freezer safe container. Fold in (optional) diced peaches if using. Freeze at least 4 hours.
Allow to soften slightly on the counter before serving.
Calories: 291kcal | Carbohydrates: 28g | Protein: 3g | Fat: 19g | Saturated Fat: 16g | Sodium: 66mg | Potassium: 528mg | Fiber: 4g | Sugar: 21g | Vitamin A: 410IU | Vitamin C: 10.8mg | Calcium: 77mg | Iron: 1.7mg