Finally solved!
After digging through various screens in my host companies control panel I finally found the HTML directory name for the server:
/hsphere/local/home/username/mysite.com/updates/files
In case OST developers happen to read this post, I suggest you add some code to read the directory path off the server so we don't have to dig around trying to figure out what the path is. Joomla does it, so I'm sure OST can too.