Put the strawberries into the bowl of a food processor fitted with the chopping blade. Pulse strawberries until rough/finely chopped (depending on reference). Reserve in bowl.
In a medium bowl, use a hand mixer on low speed or whisk to combine the milk, sugar and salt until the sugar is dissolved. Stir in the heavy cream and vanilla. Stir in reserved strawberries with all juices. Cover and refrigerate 1 to 2 hours, or overnight.
Turn on the ice cream maker; pour the mixture into the frozen freezer bowl and let mix until thickened, about 15 to 20 minutes. The ice cream will have a soft, creamy texture. If a firmer consistency is desired, transfer the ice cream to an airtight container and place in freezer for about 2 hours. Remove from freezer about 15 minutes before serving.