Just in case someone else runs into this problem, here are the things we ended up finding wrong with it and had to do to fix it.

1.  Fixed directory permissions

Directory...

Got a little further.  The logging has been fixed -- somehow the permissions for our service ID had been taken away on the logging directory, so it couldn't write to...

I think you want a snapshot (can't remember if its the history or execution tab on the properties) and then you can check a box to have it display from...

We did more digging throughout the day yesterday.

The service has been running (we'd checked that).  I did stop and restart it, and nothing happened.

I went hunting logfiles (I found a...

I've actually found I need to take the margins of the report smaller than I expect.  Subtract for the standard printing margins, then shade it 1/8 to 1/4 inch smaller...

There are four jobs in the SQL Server Agent jobs, the times all corresponding to the four different ways we've tried to run this -- two timed subscriptions, and the...