Strawberry ice cream

4 cups finely chopped fresh strawberries, divided
1/2 cup sugar divided
2 cups whipping cream
1 cup whole milk
4to5 large egg yolks
1/4 teaspoon vanilla extract
pinch of salt
pink liquid food coloring optional

1 1/2 cups strawberry and 1/2 cup sugar should be combined in a saucepan over medium heat. Cook until sugar dissolves  and strawberries soften, stirring once in a while, about 5 ot 6 minutes.Add Cream and milk. Bring to a simmer over medium heat, stirring occasionally , but do not bring to a boil.
Whisk together egg yolks  and remaining 1/4 cup sugar in medium bowl Pour 1/4 hot milk mixture into yolk mixture pouring slowly whisking all the time.Put the egg mixture to the remaining hot milk in the saucepan, stirring constantly and cook until mixture thickens and coats the back of a wooden spoon, about 6 minutes. Stir in vanilla and salt, add a few drops of food coloring, if you are going to use it until you get it the color you want it. Refrigerate until chilled . Pour into an icecream maker  and process  according to the instructions that came with your ice cream maker. Stir in remaining  1 1/2 cups strawberries and freeze until firm or overnight.