Completely un-necessary waste of time and effort. Once you remove the case from the heat source i.e. the torch flame, it's not going to get any hotter. Yes the base of the case may get warm... but no-where near annealing temps, not even when you have a big tray of them sitting there air-cooling.
I put them on a wet towel to speed up the cooling processIn order to prevent the heat travelling to the base of the case, I have been dropping the annealed cases into water.
In order to prevent the heat travelling to the base of the case, I have been dropping the annealed cases into water
Same theory for induction annealers. No need for water. If your bases are too hot to touch, you need a lot less heat to anneal the necks. Are you using Templaq to see the proper timing for annealing or are you getting the necks red hot?
Here's a paper from Damon Cali that you may find informative.
Joe