See Table: 7x7 and 7 x19 ultra flex are the only
cables rated for use on pulleys that I have found. Its more than likely much cheeper than WM also. Take a look at their on line catolog. Most times if you order its there the next day.
Nonmagnetic Stainless Steel Wire Rope—Not for Lifting

Flexible 7 × 7

Ultra-Flexible 7 × 19
Made of specialty grade 305
stainless steel, this wire
rope is nonmagnetic and
corrosion resistant. It is preformed to prevent it from unraveling when cut. It is extra-lubricated for added wear and
corrosion resistance.
Rope has a strand
core.
Note: Load capacity has a 5:1
safety factor compared to breaking strength.
Dia.Load
Capacity, lbs.Fits Pulley/Drum
Dia.Lengths, ft. Per Ft.Flexible 7 × 7—Meets MIL-DTL-18375
0.063"702 3/4"25, 50, 100, 300, 500
8909T12$0.410.094"1403 1/8"10, 25, 50, 100, 300
8909T14.55Ultra-Flexible 7 × 19—Meets MIL-DTL-18375
0.125"2603 1/4"5, 10, 25, 50, 100
8909T161.000.188"5804 7/8"5, 10, 25, 50, 100
8909T221.690.25"9806 1/2"2, 5, 10, 25, 50, 100
8909T312.39