Preheat over to 425°F. Line a baking sheet with parchment paper.
Stir together the flour, sugar, baking powder and salt. Cut butter into 10 pieces and work the butter into the flour until it forms large, coarse crumbs.
Stir in cheese, ham, rosemary and scallion.
Add ¾ cup of cream and squeeze the dough together. Add a little bit of cream until the dry ingredients are moistened.
Transfer the dough to a lightly floured surface. Pat the dough into about ½ inch thick and 6.5 inches in diameter. Cut into 8 wedges. Place the wedges 1 inch apart on the baking sheet.
Brush the wedges with the cream.
Bake the scones for 22 minutes or until they are golden brown.