I understand the phenomenon you're talking about, but I suspect that you're a bit more towards the extreme end of it. I too "run hot". The more common problem with me in cold weather is just that I will inevitably have some perspiration on my skin and clothing when I stop and almost immediately put on (a) warmth layer(s). But for me, the core warmth persists longer, I'm still shedding heat for a good while after I stop.

The balance point I strive for is to try to cool down just enough that I still retain plenty of heat, but not so much that I'm sweating after I put on more clothing. I can never just stop, stay plenty warm, and have no perspiration, but trying to optimize between sweating and cooling is worth thinking about.

The only suggestion I can think of for you is to perhaps not "just stop", but plan your stops and slow down, cool down some as you approach your stop point, perhaps even to the point that you can add a light layer before you stop. But I can easily believe that this just wouldn't work, that perspiration would continue.

Another option is the vapor barrier approach --- perhaps a long-sleeved VB inner layer, add that shortly before you stop and then your warmth layer(s). Less comfortable to retain the moisture, but at least you shouldn't be shivering! This site has sold VB stuff for many years: http://warmlite.com/vapor-barrier-clothing/

Here's their treatise on the benefits of VB:
http://warmlite.com/vapor-barrier/

I am NOT pushing VB as some great universal solution. Most folks in most conditions won't prefer it (I don't), but it certainly has its uses in the right situations.
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Brian Lewis
http://postholer.com/brianle