No-Churn Roasted Strawberry Ice Cream

You will need: 11⁄2 lbs fresh strawberries, hulls removed, halved 1⁄4 cup superfine sugar 3⁄4 cup canned sweetened condensed milk 1 teaspoon pure vanilla extract 10 oz heavy cream 2 tablespoons confectioners' sugar, sifted ice cream cones, for serving