01 - Combine strawberries, 3 tablespoons sugar, and lemon juice in a saucepan. Cook over medium heat for 5–7 minutes until berries soften and release juices. Mash slightly with a fork, then cool completely. Refrigerate until thoroughly chilled.
02 - Beat softened cream cheese in a medium bowl until smooth and lump-free. Gradually whisk in whole milk until fully incorporated. Add heavy cream, remaining ¾ cup sugar, vanilla extract, and salt. Continue mixing until the base achieves a uniform, creamy consistency.
03 - Cover the ice cream base mixture and refrigerate for a minimum of 2 hours. The mixture must reach 40°F or below before churning for optimal texture and volume development.
04 - Combine graham cracker crumbs, melted butter, and 1 tablespoon sugar in a small bowl. Spread evenly on a parchment-lined baking sheet. Bake at 350°F for 8–10 minutes until golden brown. Allow to cool completely to room temperature.
05 - Pour the thoroughly chilled base into an ice cream maker. Churn according to manufacturer specifications, typically 20–25 minutes, until the mixture reaches a thick, soft-serve consistency.
06 - Transfer churned ice cream to a freezer-safe container in layers. Alternate spoonfuls of strawberry swirl and graham cracker crumble between ice cream layers. Gently run a knife through the mixture to create a marbled effect without overmixing.
07 - Cover container tightly and freeze for at least 4 hours or overnight until firm throughout. Remove from freezer 5–10 minutes before serving to allow for easier scooping.