Seriously? I need to be an administrator to install the annoying little "you are now free to move about the country" notification icon? A limited user can install Firefox but can't install the Ding!? Bad programming if you ask me, but a simple fix: install on another machine as Administrator copy the file DingParser.dll from \windows\system (or system32, if that's where it ended up) to the \Program Files\Southwest\Ding folder zip up the Ding folder and copy it to the other computer, unzip it somewhere convenient, and put a shortcut in your Startup folder
Here are the solutions I find on my own once customer support tells me they've exhausted all options.