Working with slightly thawed berries that are easier to blend, process the 4 cups of frozen strawberries, working in batches if necessary, until strawberries are well chopped and smooth.
Add yogurt, lime juice and, if desired, honey.
Whip for at least 2 minutes in the blender.
If desired, freeze right away. You’ll need to thaw the frozen yogurt for several minutes before it’s scoopable.