Combine flours, sugar, baking powder, salt & baking soda thoroughly in a mixing bowl. Cut the cold butter into marble sized pieces. Toss the butter into the cold flour.
Pinch each piece of butter in the flour with a rubbing motion in between your thumb and forefingers. You are trying to coat the butter nicely with the flour, which will create flaky layers in the biscuit.
Once you have pinched each piece of butter, take the cream and vinegar mix out of the refrigerator, it should be thick. Reserve 1/2 cup of the mixture, and add the remaining 3 + 3/4 cup to the dry ingredients.
Toss to combine. The dough should be quite shaggy and firm, but if it doesn't come together as a dough add another 1/4 cup of the cream, reserving the remaining 1/4 cup.