A battery powered water pump isn't going to pump much at all and eat up batteries like crazy.
I second the idea of a 12V pump.
12 Volt Marine Utility Water Pump
This one says it will pump 260 gph (at 0' head I assume) - an important factor is how much head (how high are you pumping the water from the tank?).
Since your tank is in the back of your Suburban I doubt the cable connections would be long enough. But it wouldn't be too much to have your mechanic run a good sized cable from your battery to the back of the suburban - or make a longer cable using a cheap pair of jumper cables.