Chill Your Ice Cream Bowl In Advance. If your ice cream maker has a chiller bowl, make sure to freeze it at LEAST 24-48 hours in advance so it's cold enough to churn the ice cream properly.
Blend The Base. Add peaches, heavy cream, whole milk, sugar, corn syrup, vanilla extract, 1/8 teaspoon almond extract, and the salt to a blender. Puree until completely smooth. Taste and mix in an additional 1/8 teaspoon almond extract, if desired.
Chill The Ice Cream Base in the fridge at least 2-3 hours, or until it's VERY cold. (Don't skip this step or your ice cream will not churn properly.)
Churn The Ice Cream. Give the chilled ice cream base a good stir to make sure everything is evenly blended. Then, churn ice cream according to your manufacturer's directions. (For me, this takes 25-30 minutes.) At this point the ice cream will have a soft-serve texture.
Freeze Ice Cream. For a firmer, scoop-able set, transfer the ice cream to a freezer-safe container and freeze at least 2-3 hours (up to 8 hours or overnight).
Scoop, Serve & Store. Enjoy scoops in bowls or on cones and store leftover ice cream in the freezer up to 2 weeks.