I tried flashing my 1080 Mini's bios with the one that Cuban supplied, but I also had the issue with the memory becoming "unknown" in GPU-Z and getting stuck at 405Mhz. I re-flashed the card to the one that brt02 supplied and that fixed the memory issue. I left it as is for a while, but I have a hard time not tinkering with things when I can (risks be damned). I read more of the thread about people having luck with EVGA bios in the Ti version, so I figured I'd try this again with a non-zotac bios.
I tried the above EVGA bios, but that produced the same outcome as the Zotac AMP! from before. I then re-opened brt02's link and noticed that the vbios version is "86.04.60.00.6F". I went to check if I could filter the Bios database based on that information and I was able to find several like-kind bios versions (last 2 differed). I then tried out
this MSI
bios version "86.04.60.00.5B" using Cuban's steps and after a reboot, GPU-Z recognized the memory properly! I started up a game, but it was terribly slow still. I decided to do a quick DDU/driver update to see if that would help and I'm happy to say that its working! The memory now ramps up as expected and I have free reign on the fan speed! I haven't tested to see if HDMI audio or anything else still works since I don't use those features.