Combine first 5 ingredients in a large bowl; beat with a mixer at medium speed until blended. Stir in peaches.
Pour mixture into freezer container of a 2-quart hand-turned or electric freezer. Freeze according to manufacturer's instructions. Pack freezer with additional ice and rock salt, and let stand at least 1 hour before serving.
Tip: If you don't have almond extract, use 1/2 teaspoon vanilla extract.
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