Shot five rounds with all touching;
Swiss K31
Case - Rem
Primer - WLR
Bullet - MilSurp, 173gr. FMJ flat base
OAL - 76.0mm (I know it's long, but it works)
Powder - WC852 (slow)
Charge - 51.0gr.
No pressure signs

Thought I add my two cents worth to this old thread.
I've been working on my S&R K31 loads for about 8 months now and these are what I've found to work in my rifles...

Shot @ 100 yards, 4 round .812" group off sand bags.
Remington 170g RN SP 30-30 bullet
Winchester WLR primer
Norma brass
C.O.A.L. 2.755"
IMR-4350 @ 49.5g
Avg. Vel.= 2356 fps.
Std. Dev.= 2.64
I also saw very good groups with charge weights of 50.0g and 50.5g with average velocities of 2398 & 2408 fps.

For cheapo "plinker loads" these seemed to work...

Shot @ 100 yards, 3 rounds, 1.10" group off sand bags.
Military Surplus Lake City M2 ball pulled from 30-06 cartridges.
FNM brass (shot once)
WLR primer
C.O.A.L. 2.965"
Powder, WC-852 (my lot loads using H-380 data)
Avg. Vel.= 2545 fps.
Std. Dev.= 8.30
Also saw good groups at 54.5g & 55.5g with average velocities of 2572 & 2597 fps.

And for the lawyers among us...
As always, it is recommended you use the above information only as a base line and follow well established reloading protocol when attempting to use load data of unknown origin.

Sorry guy's I missed putting a charge weight for the Mil. Surp. M2 ball using WC-852. The charge weight should be 53.5g.