I was thinking along the lines of a cordless drill battery to run the heating elements but this would add weight so larger motors would be required to achieve the desired speeds which would require larger drive motors which would require larger batteries...
This is really DARPA level stuff but I'm going to give it a try.
The heating wires are pretty much a direct short/load type of deal so I'd have to come up with some wire that would work with a 12V or 16V battery. I'm pretty sure that a standard toaster elements are for 110V AC without any rectification or transformation.
Basically I just need to use a battery to get a matrix of wires red hot without causing the battery to overheat/explode/self-destruct.