1. Preheat oven to 325°.
2. Stir together first 7 ingredients in a large bowl. Add maple syrup, tossing to coat. Spread mixture on a large parchment paper-lined baking sheet.
3. Bake 20 minutes, stirring once after 10 minutes. Remove baking sheet from oven, and stir in pistachios and peaches. Let cool completely on baking sheet. Store in an airtight container at room temperature up to 1 week.