Thanks. I did get a new battery.You should consider replacing the battery. Just because it charges to 12v, doesn't mean it will have the amperage to run the starter. An internal short in the battery cells reduces the output capability, just as your load test showed. At WOT, I would expect close to 14v.
And as it turns out, I got an OEM regulator from a guy in town.
All A-OK now.
Thanks to all you who helped!