Yeah, I figured you already knew what you were doing, and put my method in there for those reading this thread who didn't, LOL

In dropping my brass into a metal bowl to cool, I just don't try to handle them until I'm done with all of them, and allowed the entire lot to cool sufficiently before I try to handle any (I did pick up a hot one once... wasn't fun after about a millisecond).

Interesting thing about Remington brass... it doesn't show the heat tint as much as say Winchester or others.  I notice Winchester brass polishes up much brighter than Remington does too.  Once upon a time, I used red tuffnut in my tumbler, and some of the Remington brass also took on a slight red tint too!  Strange...