In heavy saucepan, combine the sugar, flour and salt. Gradually add milk until smooth.
Bring to boil over medium heat; cook and stir for 2 minutes or until thickened. remove from heat; cool slightly.
Whisk a small amount of hot milk mixture into the eggs; return all to the pan, whisking constantly. Cook and stir over low heat until mixture reaches at least 160 degrees and coats the back of a metal spoon. Stir in cream cheese unti melted.
Remove from heat; cook quickly by placing pan in a bowl of ice water; stir for 2 minutes. Stir in vanilla. press plastic wrap onto surface of custard. Refrigerator for several hours or overnight.
Stir strawberries and cream into custard; fill cylinder of ice cream freezer 2/d full; freeze accouding to the manufacturer's directions. Refrigerate remaining mixture until ready to freze. Allow ice cream to ripen in ice cream freezer or firm up in your freezer for 2-4 hours before serving.