Mix chopped peaches with ½ cup of granulated sugar in a medium bowl. Let sit for 15 minutes to release juices.
Blend the peaches until smooth. If too thick, add ¼ cup of whole milk to achieve desired consistency.
In a large mixing bowl, combine peach puree, heavy cream, whole milk, vanilla extract, and remaining ¾ cup of sugar. Stir well to dissolve sugar.
Prepare your ice cream maker according to the manufacturer's instructions. Pour the mixture into the machine while it is running and churn for 25-30 minutes until thickened.
For firmer ice cream, transfer to a bread loaf pan, cover with plastic wrap, and freeze for at least 6 hours or overnight.
Scoop and serve when ready!
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Notes
Store in an airtight container in the freezer for up to 2 weeks.