Somebody mentioned a ProLoad 125grain .357 "tactical lite" meant for snubbies, with a Gold Dot bullet specially set up for milder velocities (bigger JHP cavity than normal). If I had a short .357, I'd certainly try some.
Failing that, there's always some decent .38+P around, esp. from a 3" barrel. Remington's version of the 158+P LSWC-HP is reputedly a bit hotter than the more common Winchester variant. Don't know for sure how Federal's 158+P Nyclad HP compares, but in general Federal loads stuff milder than most makers.
What we really need is for Federal to supply the 124grain 9mm E-FMJ projectile as a loading component in .355 and .357 bores, and let some smaller outfit like Georgia Arms, ProLoad, Buffalo Bore or whoever load it in standard .38Spl, .38+P and .357 power levels. And load the .355 variant in 9mm, 9mm+P and .357Sig. That projectile works across a VERY broad speed range, unlike many JHPs. It can't clog, it feeds well in slideguns, cool stuff. Expansion width is down a bit from the top JHPs but reliable expansion is unmatched and it seems to expand in as little as 1" worth of gelatin, very unusual compared to JHPs.
I'd *love* to have some in .38+P for my snubbie.