I'm running the 131 Hammer in a 7 Max, which is pretty close to the 7 WSM. Mine is a 26" barrel with 1 in 8.44 twist. Seating bullets to 2.945 coal. Using H4831sc I started at about 62 grains running 3075 FPS, worked my way up 1/2 grain at a time to 72 grains where I found pressure in a very slight ejector mark and slightly stiff bolt. Final load is 70.7 grains, shoots sub 1/2 moa at 3,420 FPS. I've found that seating closer to the lands drives the pressure up pretty quickly, exercise caution.
I also loaded a few of the 124's with H4831sc and H4350, was able to get over 3700 FPS with H4350, but it was on the ragged edge of being over pressure.
Incredible round for deer, shot a big old buck in Montana with the 131, range was 270 yards, impact velocity about 2800 FPS, devastating results.
I would think you'd be able to get similar performance with the 7wsm, start on the low end and be safe.