In a large bowl, mix the softened cream cheese, sweetened condensed milk, corn syrup, vanilla extract, and sea salt until smooth and well combined.
In a separate bowl, using an electric mixer, whip the cold heavy cream and half-and-half together until stiff peaks form using a hand mixer or stand mixer.
Gently fold the whipped cream into the cream cheese mixture until fully incorporated.
Pour the mixture into a loaf pan or freezer-safe container, cover, and freeze for at least 6 hours or overnight.