Yes, there is one near me. I thought about that, and decided to let the AppleCare process determine the course of action. As soon as I spoke to a representative, they immediately said they would send a new one to me. I was somewhat shocked by that, because I was thinking they were going to tell me to go to the Apple Store. Maybe because it's a Mac Pro they are handled differently?
In the end, I think this is better. I thought about how I would feel if I had this fixed at the local Apple store, and decided that I would still have a queasy feeling about this unit even though it might have been fixed. Being dead straight out of the box, I already had a bad impression about it. Anything wrong from here on out would make me question it.