Well - it is almost 24 hours later and the site is still up. I also went into the file system and looked manually for the files that used to reappear a few minutes after resetting permalinks. As you might expect, they are not coming back to haunt me.
I also had an active discussion going with the WordPress experts group on LinkedIn regarding this hack. I made sure to give this plug-in and your assistance a big "thumbs up". Hopefully more people will now learn what an awesome tool it is!!
Thanks for your help - and if you do have post cleanup suggestions for this site, please do let me know.
You rock!
Cynthia