I noticed the settingshash querystring values have corresponding txt files in the C:\WINNT\Temp directory.  I copied all three of the txt files to all 8 of the servers.  This seems to have cured the problem. 

I guess what worries me now is what will happen when I add additional servers to the mix.  Is there any way I could get a breakdown on how these files get their names so I can set things up with consistency?