DoctorVGA, it looks like you are way ahead of me, I'm still waiting for my P106-100 to arrive. Had to register here just after I saw your comment
First of all, can you boot an actual system and see if the modded card actually is present on the pci bus? An output of lspci (linux) would be really awesome, as well as giving it a spin with regular nvidia linux drivers. Just Xorg.0.log would prove very useful. My old GTS450 soft-modded into Quadro 2000 to enable GPU passthrough never got detected by BIOS, I was getting three beeps, but worked flawlessly when I booted the VM and installed drivers. So if it's not detected by BIOS it may not be a complete failure yet!
Following the the above, can you backup/flash VBIOS? If so, you can try some different VBIOSes from the net, see if any of them actually works.
Finally, you flash (or transplant the ic) P106-100 BIOS, and see if it detects and works as if it were P106-100.
If I got things right, we have a limited set of options here:
Either we have some resistor straps, like the previous generations, and the only problem you have is different GDDR/timings. Therefore a VBIOS from a working 1060 with the same GDDR is required for things to finally work. AFAIK VBIOS'es are digitally signed, so we can't alter it in any way.
Or nvidia did get themselves some one-time programmable rom inside the chip. If that's the case, we're pretty much screwed and we can only use it as is and hope for nouveau guys to finally perfect their driver. (Or patch the binary drivers in even more weird ways)