This is prob a silly idea but is there any way to harness this cosmic radiation that is bombarding the chip? Cosmic rays are high energy particles. Surely we can do something with that right?
Sounds plausible to me. A sort of, cosmic ray greenhouse effect working on a dense insulated target, producing a heat gradient to a (cosmic ray transparent) radiator.
I'm not sure if the material requirements work out, or if it's worth it's mass to bring along.
Math: 0.01 J/kg = 1Rad. 1w = 1J/sec. 100kg = 220lb and a reasonable estimate for person. .1w/100kg = 0.10 rads per second, 6 rads per minute, 360rads per hour which is just under the LD/50, but 24h = 8640rads which is just flat out lethal. Though with good care you might last another ~2 very unpleasant days. Of course not all radiation is the same so you can try some equivalent dosages, but no that's not going to save you.