So I tried it out, and first off, DANG these guys could end up being dark. I definitely want to avoid that. So here they are with just block painting.
I left the helmet, boots, and webbing the German Grey Armor, painted the tunic Feldgrau, the pants Adeptus Battlegrey, the bread bag and mess kit Vallejo FoW Khaki, the metal Vallejo Gunmetal, and the rifle stock and bases Cathayan Brown. I mostly did the base to contrast the model, since they were so dark.
However, they were SO dark I decided to try lightening them up, so I went a step further and did some highlighting and a touch of detail.
I did the collars Orkhide Shade (they are described as being "bottle green" in the reference materials I've found), and highlighted the tunics with Vallejo FoW Grey Green. The pants were highlighted with Codex Grey.
After doing this, I can see a small amount of wash, but I don't think dipping these guys is a good solution. They're so dark already, unless I'm going to really go overboard on the bright colors I'll just end up repainting them. I'll wash the faces and khaki bits, but otherwise some highlighting should be plenty. I'll just leave the darker colors showing for shade effect.