My suggestion would be to book the room under your name as you did. Then day of check-in or a couple days before call the hotel directly and state that your dad will check-in prior to your arrival. They will ask for his name and perhaps the spelling. This has worked for me multiple times before when the girlfriend and I are coming from separate places but she will arrive before me/wants to use the room to place her belongings in. Your parents should go through the check-in process and the hotel should honor your status.