I am incredibly happy right now!
--{this rambling was moved to the extended entry and is denoted with an asterik(*)}--
Anyway, to get to the point of the story...
I got the disc! It's in the system now and should reach me in under two weeks, which is great! All I needed to do was register my Game Cube and two of four "promotional" games -- both of which I happened to have received for Christmas this year.
*I was reading through some websites about the PSX that came out several months ago, and decided to check in at nintendo.com to see if they had a new system in the works. They didn't, but what they did have was an offer for the Zelda Promotional Disc that I have been wanting since I heard about it. I've even tried to buy it (it's supposed to be free with the purchase of a new Game Cube) on Ebay, but my $20 maximum bid was always outbid by a wealthier or more zealous gamer than I am.