After 9 hours of syncing the blockchain on the second machine, Armory stopped working at about 40% and reported "armoryengine.pyc:11297 - Error: System error: Database corrupted"
I don't even know what to say at this point.  How can a completely separate machine, clean and void of *any* Bitcoin software, result in this with Armory?    Is there something fundamentally wrong with Armory that is causing these perpetual issues?

I will now try this on a third machine and wait another 12 hours.