Scott, Took the advice of @ross and moved from Godaddy to another host. HostforWeb, listed under
http://www.oxwall.org/hosting -- did a fantastic job of migrating our sites over, which literally took only 4 hours (from account creation to up-and-running). They have awesome live support chat, continuous follow-ups and are very knowledgeable! As long as they continue to do so, then we will promote their service.
From what we can tell, no more troubles with mod_security, and HostforWeb didn't even disable it all the way -- they just know from experience which items within the security module need extra attention. New video codes post without that annoying 406 error.
HostforWeb handled the entire migration from GD to themselves. Received an email within 2 hours that indicated the migration was complete including; our cron settings, addon domains and all of our email accounts. Because we chose to leave our domain name with GD for now; all we had to was change our DNS Zone to reflect our new dedicated server IP that HostforWeb assigned to us, and update our nameservers -- which only took about and hour to propagate.
I want to give a special shoutout to
Ross, who really handled our questions with accuracy and deserves a very worthy thumbs up!