Scald milk until bubbles form around edges of pan. Remove from heat. Add sugar and salt until dissolved. Stir in half and half, vanilla, whipping cream, and 1/2 cup Amaretto. Cover and refrigerate 30 minutes. Add cinnamon to pureed peaches and diced peaches, then add to chilled mixture. Refrigerate another 15 minutes. Freeze in an ice-cream maker according to the manufacturer's directions. Drizzle remaining Amaretto liqueur over dished out servings.
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