Well, EDAR was in the SHG, yes?
http://dienekes.blogspot.com/2015/03/natural-selection-and-ancient-european.html
I would guess that was perhaps EHG related and ANE related before that? The Russian anthropologists were pretty sure that Mal'ta boy had it or something similar. (Did they have a tooth or only part of the skull? I forget.) There was an outcry when I suggested on the Board that perhaps they were right, but I think more recent papers and analyses provide some support for that idea. I think that after the split into West Eurasian and East Eurasian there was some intrusion from East Eurasia toward the west, as there was into Central Asia and across the steppe many millennia later.
According to this latest paper on East Asian ancient dna, it's in the ancient hunter-gatherer. They also said in that paper that American Indians were pretty close to this ancient population (and the Ulchi?) so I think this may be a set of mutations that occurred after the split between East and West Eurasians, but before Neolithization, and thus would have gone to Siberia and then North America?
http://www.eupedia.com/forum/threads/33517-Neolithic-east-asian-dna-5700-bc?highlight=East+Asian
I think I remember reading somewhere that EDAR is on an increasing south/north cline, which makes sense given the thick hair aspect. I've never understood the selective advantage some of these things would have in an arctic climate however, especially something like more sweat and oil glands. The smaller breast size thing is a mystery too.
The Jomon are said to derive from this ancient line as well. I've never investigated their traits much. This paper promises information about it in the abstract, but it's behind a paywall. Maybe someone who reads this has the information from the paper or elsewhere and can share it.
http://www.nature.com/jhg/journal/v60/n10/full/jhg201579a.html
This is all just off the top of my head and two minutes research, so take it for what it's worth.