I just leave it on the bench/table for a short bit as Im packing everything else up (Im still by it, just putting gun into the case etc etc)
It doesnt take too long, honestly.
Also, as it's there, I just sort of shift it about a little. Letting hot areas rest against various parts of the carpet. In my mind, Im helping transfer the heat. Does it work? Who knows. I just know it's not long after I shoot (five minutes?) and Im putting it into the pouch it came in and I feel secure that it's not going to harm anything around it.
Me, I wouldnt do anything that would 'shock' the materials. May do nothing wrong at all, but Im not doing it.