As others have stated, definitely shoot in raw, but using the white balance card is still a good idea. Either side will probably work. You can get a white balance setting from any shade between white and grey as long as there's no color cast. Chances are, the white side was made specifically for white balance and the grey side was made for exposure, so if it doesn't specify that the grey can be used for color balance, I'd personally default to the white.
So, take a shot of your white balance card in the tank. Angle it a bit towards the light. From here, set a custom white balance in the camera. You're probably still going to have to tweak it in post processing, but this should at least get you close. Once you're done, bring one of the photos up in your favorite raw photo editing program (DPP, Lightroom, Adobe Camera Raw (ACR), etc), and tweak the color temp and tint as necessary. What I've found is that even with a correctly white balanced photo, what is technically "correct" color isn't always quite what you want.
Once you have the color right, you can apply those color temp and tint settings across the rest of your pictures. It is very important that you shot all of the pictures in the same color balance mode on your camera (shade, sunlight, etc.) and not in auto white balance (AWB). Each mode uses a different baseline, so the same color temp and tint settings won't look the same between different modes. AWB potentially uses a different baseline for each photo, and it makes global adjustments across photos impossible.