Line a baking sheet with parchment paper; set aside.
In a large bowl, whisk the flour, both sugars, baking powder, salt, and cinnamon together. Use a cheese grater to grate the butter on top of the dry ingredients. Add the cream cheese. Then use a fork or pastry blender to cut the butter and cream cheese into the flour. The mixture should resemble coarse crumbs.
In a medium bowl, whisk the 1/3 cup heavy cream, yogurt (or sour cream), egg, and vanilla together until combined. Pour wet ingredients over the dry ingredients, and stir with a spatula until dough comes together. You might need to use your hands to mix the rest of the loose flour into the dough.
Add the chopped strawberries, and use your hands to gently fold and press the dough onto itself until it looks just mixed. Try to resist the temptation to overwork the dough and don’t worry about any loose strawberries
Spray a cookie scooper, or 1/4 cup measuring cup with non-stick cooking spray. Scoop up dough in mounds place onto prepared baking sheet, leaving 2 inches between scones. Gently press down the tops to level a bit and press in any jagged areas on the sides of the scones. Set in the refrigerator for at least 30 minutes and preheat the oven to 400℉.
Brush each scone with heavy cream and sprinkle with coarse sugar. Bake for 18-20 minutes, or until golden brown. Remove scones from the oven and allow to cool at least 5 minutes before drizzling icing on top.