I heard back from FIRST and they are willing to review a product using super capacitors. Of course you'd need to meet the same requirements with this project to get it on the approved hardware list as any other. Further they won't confirm or deny the rules in the future.
So there's the matter of making 10 of them.
Disclosing the testing.
Figuring out the costs.
Determining distribution so everyone can get one.
Potentially being asked to give FIRST enough for everyone free.
Explaining who your company is and what resources it has.
Of course the other take was see about making something like a Raspberry Pi laptop. Since there's no official approval for that I will now see if I can figure out how to approach that question.
In the meantime this does not solve the issue but it is neat (the plans are COTS what you build would not be):
http://blog.parts-people.com/2012/12...ble-rpi-to-go/
Further communication from FIRST representatives suggests that one could create a Raspberry Pi portable device that integrates a battery and a Raspberry Pi and it would likely fall under COTS rules of previous years. Again rules change so I am not sure how much risk someone is willing to take with this financially. I do have an idea of how to start.