Good News Everyone!
Working with my provider we were able to restore an old backup of the Thumbbot server to temporary machine. Last night I was able to get it running and copy the application and mysqldump to my local machine and an external drive (being cautious this time.) Also last night I moved the database and application onto their new home, a machine running Ubuntu 12.10. At this point there are a few lingering python dependencies that I need to resolve as a result of the old code in Thumbbot (Python 2.6 for those who are wondering) and once that's all taken care of we'll be back up and running. My current timeline is to have him back by early Friday night.
A note on the restoration: The backup used to restore Thumbbot is roughly one year old, users or channels added to the bot in that time will be gone and have to be re-added, and trivia scores will be completely reset when I bring the bot back for fairness.