Add avocados, cream of coconut, sea salt, minced ginger, and lime juice to the bowl of your blender or processor. Blend until very smooth.
For sorbet, scoop into a pan or bowl of your ice cream freezer.
Freeze until semi-frozen. Stir in the crystallized ginger if using a loaf pan, or add to the ice cream freezer while the mixture is still soft.
Scoop into dishes. Garnish with toasted coconut and/or additional crystallized ginger as desired.
IMPORTANT NOTE: Make sure you start with well-chilled sorbet mixture if using an ice cream freezer with a freezer bowl. Add the chopped crystallized ginger after the mixture is partially frozen.Makes about 6 generous scoops.