I would say that your Dad's buck is a piebald. No, it doesn't have white all over, but it does have "extra" white on the legs and the hooves are white. I shot a piebald doe many years ago that had striped hooves ... every hoof was half black / half white. Of course, she also had white spots/splotches all over her body. Have you seen any other piebald deer in this area?
Definitely will make a great looking gun rack, though!! ... Crayfish