I had a 340 I pulled from the line up because both .357 and .38 158gr would jump crimp and lock up the gun. It was with cheaper ammo. I'd go for the heavier framed (aluminum or steel) J frames.

I'd recomend that you relook the .38 SPC +p Speer Gold Dot 135gr Short Barrel Load, it was created to address effectiveness out of a short barrel. Per Speer, it's going 860 fps out of a 2 inch barrell

On the .357 side, you could try the Gold Dot 135 Short barrel load. It's listed as 990 fps out of a 2 inch barrell.

You could try the Winchester 110 gr JHPs as well.