A piece of Kaowool works, too. Place the hot blade in it and fold over. Cary to the vise and straighten.
Steel doesn't cool all that fast in air, so no need to rush. Once it contacts the vise or other metal surface ( anvil and hammer) it cools rapidly. Using a wooden mallet and a board on the anvil to straighten blades, or wooden dowels in the vise jig helps slow down things a bit.
I agree with the others that there is more time than most would think when straightening with gloved hands.My experience has shown a one or two minutes at most. My concern with post-quench straightening advise is new makers who haven't gained the experience to know when to stop straightening. In my opinion, for an inexperienced smith, it is best done in the first minute or after tempering.
LRB, I apologize for sounding as I did. On re-read it was poorly stated the first time.
I should not have made the comment to an experienced maker in the way I did.My point was to advise a newbie against the procedure, not to tell others who know how to do it that it shouldn't be done by them. Again, I apologize.
To make one additional point for a newbie to take from this thread......
Kevin uses salt pots and controlled ovens. He has great experience with long hot blades and straightening them. He can slip on and off a pair of HT gloves with a shake of his hand.He knows just where and how hard to bend a blade to straighten a warp or bend. I would suspect LRB and Tai can do it in their sleep,too. How did they attain this super-skill? Experience - doing it on hundreds (maybe thousands?) of blades. The fact that they have gained this skill is commendable, and their experience is good information to study.......but new makers should not expect to have their first attempts at straightening in this fashion go as smoothly. Many knifemaking skills are second nature to old timers, and seem impossible to new makers. It will take time to gain the eye-hand-brain connection to know when to bend and when not to. Until then, going heavy on the safer side is good practice.