For CASS type shooting, any fast burning powder can be made to work. They are all safe in a 357 mag at the desired velocity (around 800 fps from a handgun). Published load data for this level of performance can be hard to find.
However, there is an alternate choice in this range of performance where pressure margins for the gun are very high.
I ran a Quickload table to get the charge needed to get 800 fps from a 6" barrel. I looked up some old Hodgdon CASS data and found all of the Quickload results are between min and max listed for the applicable Hodgdon powders below.
Based on this, it gives you a tool where you can just look for the "most available" powders from the selection below. For what it is worth, if I found Nitro 100, Red Dot or Clays they would be at the top of my list. To get cleaner burning at the low velocities you want, faster really helps.
Code:
Cartridge : .357 Magnum (SAAMI)
Bullet : .358, 158, LEE 358-158-RF
Cartridge O.A.L. L6: 1.600 inch = 40.64 mm
Barrel Length : 6.0 inch = 152.4 mm
Powder type Filling/Loading Ratio Charge Charge Vel. Prop.Burnt P max P muzz B_Time
% Grains Gramm fps % psi psi ms
--------------------------------- -----------------------------------------------------------------
Hodgdon Clays 40.4 3.2 0.21 800 100.0 14926 2013 0.885
Vihtavuori N310 33.6 3.2 0.21 800 100.0 13645 2093 0.932
Accurate Nitro 100 37.9 3.3 0.21 800 100.0 11264 2399 0.990
Alliant RED DOT 40.1 3.3 0.21 800 100.0 11852 2304 0.986
Accurate Solo 1000 38.4 3.5 0.23 800 100.0 11660 2317 0.976
Alliant GREEN DOT 38.8 3.6 0.23 800 100.0 11107 2446 1.015
Norma R1 42.8 3.6 0.23 800 100.0 12880 2199 0.964
Hodgdon TiteGroup 27.0 3.6 0.24 800 100.0 11761 2296 0.975
Vihtavuori N320 37.4 3.6 0.24 800 100.0 10833 2425 1.015
Alliant BULLSEYE 33.6 3.7 0.24 800 96.1 9751 2905 1.040
Hodgdon HP38 28.3 3.9 0.25 800 100.0 10636 2548 1.013
Ramshot Zip 28.6 4.0 0.26 800 100.0 10499 2598 1.019
Winchester 231 31.8 4.0 0.26 800 100.0 10499 2598 1.019
Accurate Solo 1250 40.3 4.0 0.26 800 99.7 10240 2665 1.025
Vihtavuori N330 37.4 4.0 0.26 800 99.9 9635 2772 1.060
Accurate No.2 38.5 4.2 0.27 800 93.8 9966 2883 1.032
Vihtavuori N340 39.7 4.4 0.28 800 96.0 9710 2915 1.054
Vihtavuori N32C Tin Star 55.3 4.6 0.30 800 100.0 12450 2202 0.979
IMR TrailBoss 83.3 4.6 0.30 800 100.0 11850 2273 0.989
Winchester WAP 32.9 4.7 0.31 800 92.6 9544 3004 1.055
Ramshot Silhouette 32.8 4.7 0.31 800 93.0 9542 3001 1.056