I bled both my stock pump and the reman replacement thoroughly, with the front axle jacked up and turning it lock to lock a couple dozen times. I did this with the engine running just as I always have.
After seeing/expecting the "did you bleed it properly?" responses, I watched some YouTube videos, and although there's nothing magic about this process, I decided to give it one more go. I bought ANOTHER reman pump yesterday and swapped it out. Jacked the front axle up and without the engine running, turned the wheel lock to lock a couple dozen times. Then I started it, and cycled it a couple dozen more times. Then I lowered it back to ground and cycled it more. I took if for a spin around the block, and the EXACT same mode of failure has occured. All three of these pumps have made it for about 5 minutes, executing a few turns while driving, and then it feels as if the system has hydrolocked. All power steering is lost, and the fluid appears to not be cycling in the reservoir. Its hard to say, but there may even be more resistance to turning than if there was no P/S system at all. Additionally, while replacing the two pumps, when I remove the high pressure line from the pump, a fountain of fluid squirts out- as if the flow of fluid was blocked and pressure has built up.
I realize that there are only two components to this system, the pump and box, and all signs seem to be pointing toward the box now. I intend to swap the box out this afternoon, but I'd like to hear if others have experienced this. This has been extremely frustrating and time consuming. The last thing I want to do is swap out the box right now- I just put this thing together.