Sugar the peaches and let stand for 20 minutes or so.

Stir in the lime juice and zest

Use a hand held blender to crush the peaches, adding enough water to get things going if necessary.

Transfer the blended peach mixture to a shallow pan and place in the freezer.

Every couple hours use the tines of a fork to break up the granita into crystals.

To serve, remove the granita from the freezer and let stand for a few minutes to loosen.

Scoop into bowls or glasses and garnish with a lime slice and a drizzle of honey if desired.

We ate two servings. I used a silicone ice cube tray to refreeze the leftover granita into cubes to use for smoothies.