Place strawberries in a medium bowl and cover with 1/4 cup granulated sugar. Stir lightly to make sure strawberries are well-coated with sugar. Allow strawberries and sugar to sit at room temperature for about 30 minutes to macerate.
Combine whipping cream, milk, and cream cheese, mixing until smooth. Mix in sugar, strawberries and juices from earlier, vanilla, and salt.
Pour into ice cream maker container and make according to ice cream maker directions.
Once ice cream has churned, remove from the ice cream maker container and serve immediately as soft serve or place in an airtight container in the freezer for 1 hour to overnight for a firmer ice cream.