The barrel is hot, as it letting you know you're doing it wrong. Nature has it's ways, bees and hornets have black and yellow stipes, skunks have white stripes, shotgun barrels get very hot, these are all nature's way of saying, "Don't Touch." I don't even consider a shotgun barrel to be warm until it changes colour, hot comes a box or two of shells after that. Once the action gets too hot to hold, I'll put it down for a bit, but that takes a lot of quick shooting over a fairly extended period of time. But you've already stated, only those who will indulge you in your quest to find gloves that allow you to hold sizzling barrels, are welcome in this thread, so I'm going to recommend you check the welding aisle at your local hardware store, as those are the only gloves I would touch a barrel with at the temperatures they get up to while I am shooting.