Just thought I'd pass this along - beech and walnut stocked K31s are available on Aim Surplus. They pop in every now and then but tend to sell out fairly quickly. They have some ammo for them in as well.
There are a few beech k31s at gander mt a bit more expensive but you can hand pick for yourself. I picked up a 1944 walnut from there two weeks ago, and it even had a soldiers tag under the butstock. These are great rifles.