Puree peaches in processor or blender (about 2 1/3 cups puree).
Set aside 20 to 30 minutes.
Meanwhile, combine half and half and sugar in medium saucepan over low heat.
Cook, stirring occasionally, until sugar dissolves, about 1 minutes.
Fold sugar mixture into puree using rubber spatula.
Refrigerate until thoroughly chilled, at least 1 hour.