Great call, if they're that hot then I guess they're stuffed with a wadding not to dissimilar from manmade duvet layers?
Howabout simply removing a small portion & sticking a temprary pocket for those lunchbox slimline gel-cool sachets (the ones you stick in the fridge)
..should suffice for an evening of shenanigans & brou-ha's ??
No, i'm not back.