In a bowl, toss the strawberries with the 2 tablespoons vinegar and brown sugar, cover, and refrigerate until ready to serve.
Preheat the oven to 400 degrees F.
Biscuits: In a mixer fitted with a paddle attachment, mix the flour, salt, white pepper, sugar, and baking powder. Mix in the whipped cream until the mixture is moistened and just forms a ball. Turn out onto a lightly floured work surface and knead briefly just to bring the dough together.
Use a rolling pin to roll the dough 1-inch thick. Cut with a 2 1/2-inch biscuit cutter into biscuits. Arrange on a sheet pan and bake until golden brown, about 20 minutes. Let cool on a wire rack.
When ready to serve, split the biscuits in half horizontally. Place the bottoms on serving plates. On each, place a spoonful of strawberries with the syrup that has collected in the bowl, a dollop of Greek yogurt, and a sprinkling of brown sugar. Place the top halves of the biscuits on top. Serve immediately.