Greg-
Plenty of us around here are Unix-savvy, and have actually been paying attention to the nature of the problem. If you'd read as many posts as you claim, you'd understand that your suggested debugging techniques won't do anything but waste time and electricity.
Consider:
The AMD/ATI GPU is clearly implicated, so letting the display sleep will either avoid the problem entirely, or make the failure invisible: It's the display that freezes.
There are numerous reports in this thread that confirm my experience: You can ssh into the machine
after the freeze. Your abusive invocation of top will show you, well, top. It won't show you a snapshot of the freeze, since the system is still running.
There are no crash dumps, because there are no crashes. Finding the answer to this will probably eventually require connecting a debugger to the graphics driver, but that's way beyond anything I'd expect in this forum.