Thanks, I can see that idea, but where to put it? The copy command is not permitted in .htaccess (although I'll confess I tried it anyway). Create a cron job and have it execute every hour? This needs to still work when the index.html file is automatically updated by the tools, which is why I really don't want to do anything manually.
It seems strange to me that something that can be done so simply in apache can't be done in litespeed? I've gotta be missing something here.