Not sure why a different card in a different case really has any bearing on your question.
I did not actually install the card in my Scout case, but had a 6970 card in hand (same size as the 6950) to see if it would fit. It looked like I could get it in if I took maybe a quarter inch notch out of one side of the hard drive cage.
You might also be able to stick the back end of the card inside the cage and angle it into the PCIe slot, which would obviously be the first approach to take.