It's kind of funny how I found this. I had been Googling the web with a number of query strings for months and coming up with virtually nothing except for the online version at one of the Ghostbusters fan sites. I don't know why I didn't think of eBay before wasting all that time, but I found three different guys selling 80's music videos on DVD - all claiming they were logo-free. Two guys were selling $100+ sets, which I briefly considered before looking at a single disc being auctioned by a Canadian seller.

The source of the video is unknown (the seller wouldn't tell me), but looks like it may have been sourced from a broadcast master from ETV (any Canadians familiar with this channel?). I'm not going to look a $20 gift horse in the mouth. This is the original, four-minute version with the myriad celebrities, like Jeffrey Tambor (hey now!):

http://www.retcon.net/images/gbvideo2.jpg

It's Miller Time!