In a large food processor fitted with an "S" blade, add the frozen peaches, coconut milk, and maple syrup. Process until smooth and creamy, stopping to scrape down the sides, if necessary. Taste the ice cream, and add the lemon juice if you need to brighten up the flavor. (This isn't always necessary, depending on how the peaches taste.)
Serve the ice cream right away for a soft serve consistency, or transfer it to an airtight container in the freezer to freeze for 2 to 4 hours. This will give you a more scoop-able consistency.
