Pour the heavy whipping cream and creamline milk into your Cuisinart ice cream maker.
Add the brown sugar, sweetened condensed milk, vanilla bean paste, and a pinch of salt. Stir gently until everything is combined.
Fold in the diced fresh peaches.
Turn on the ice cream maker and let it churn for about 60 minutes, or until it reaches a thick, creamy consistency. If you prefer a firmer scoop, transfer the ice cream to a freezer-safe container and freeze for an additional 2–4 hours.
Serve on its own or, for the ultimate summer dessert, scoop it over a warm homemade peach cobbler. It’s pure Southern comfort in every bite!