Even if there is a problem with our grounding system, if they shut off our power at the meter and the problem persists, wouldn't that mean that there is current coming from somewhere else? And there shouldn't be, right? Also, how would we determine if there is a problem with our system?
My next door neighbor, who works for systems operations at the utility, does not think the downed wire has anything to do with it. He's convinced it's something underground (counterpoints or something), and agrees that it's definitely not us. He's going to try to make some calls on our behalf.
The ground rod was the utility servicemen's idea. Once it made no difference, and even seemed to worsen the problem, I decided to ask them to remove it when they return tomorrow.
I want to pursue the utility until at least I can get an engineer out here. At that point, we will consider getting a private electrician. Or a lawyer. Or both.