In a small saucepan, heat the half-and-half and sugar until warm and the sugar is dissolved, stirring frequently. Pour the mixture into a 2-quart covered nonmetal container; set aside to cool.
Place the strawberries in a food processor. Cover and process for 20 to 30 seconds or until very finely chopped. Add the strawberries and all remaining ingredients to the sweetened half-and-half. Cover and refrigerate for 30 minutes or until chilled.
Pour into at least 2-quart-size ice cream maker and freeze as directed by manufacturer (20 to 30 minutes), Place in the freezer about 2 hours or until firm enough to serve. If frozen for extended period, let stand at room temperature for minutes to soften slightly.