How effective at radiating heat would be a ~8 x 12" thin copper sheet with a fastened thin copper pipe in a coil fashion? After doing the former, I'd take a copper-color suitcase with a recess
then place the sheet so the piping would be like
with 2 holes at the bottom (just like the former image), then fasten the sheet so the suitcase would appear flush
hopefully water tight. I'd then get a water cooling kit, minus the radiator to plug in the piping I made.
Oh! Perhaps placing heat reflective material at the bottom of the recess would be better, so the inside of the suitcase would be even cooler.

then place the sheet so the piping would be like

with 2 holes at the bottom (just like the former image), then fasten the sheet so the suitcase would appear flush

hopefully water tight. I'd then get a water cooling kit, minus the radiator to plug in the piping I made.
Oh! Perhaps placing heat reflective material at the bottom of the recess would be better, so the inside of the suitcase would be even cooler.