In blender or food processor, combine sugar, salt, avocados, coconut milk, cream and lemon juice. Use smoothie, puree or frappe setting, if available, and blend 2 minutes. If necessary, stop blender and carefully stir ingredients then blend again until smooth.
Follow manufacturer directions on ice cream maker to churn ice cream, including time to chill blended ingredients, if necessary.
For soft serve ice cream, serve immediately after blending. For firmer ice cream, spoon into freezer-safe container, cover with lid and freeze 2 hours.
Garnish with toasted coconut flakes, sprinkles, caramel topping or fudge topping, if desired.