... or you could could order a standard config mini direct from apple store online, and when it comes, don't open it. Just go to support.apple.com and type in the serial number on the bottom of the box. It will give the exact model (there are two): The updated one will say "Late 2005". Give it a try: YM5360V2TAC
I placed an order tonight, I'll tell you how it goes.
<edit>You must type it in under "About your Apple Product" about half way down the page on the right. I suppose you could do this in store as well, if there is an internet connection.