That trick won't work here as this card is not reference. I wonder what would happen if we flash an MSI R6970 Twin Frozr II BIOS into this card ;)
Voltage adjustment was only introduced recently in the 69xx series, so while you can throw the HD 6970 BIOS on the card, it seems that there's some issues coming to light with the memory a few weeks on. Personally, I would recommend that you go down the path of adding voltage and overclocking instead of changing the BIOS.
It also seems at the moment there's no option to adjust the voltage on the modified BIOS HD 6950s. Now considering we can get not only performance better than reference HD 6970s, but also overclocked ones, this is the path to take.
http://www.guru3d.com/article/msi-r6...i-oc-review/23 GIGABYTE Radeon HD 6950 2GB Video Card Overclocked - Final Thoughts :: TweakTown USA Edition