The J frame should handle them just fine.
Elmer Keith stated in "Sixguns" that the J frame was capable of handling 38-44 ammunition, which operates at near 357 Magnum velocities.
He fired a whole 500 round case of it through a J frame, then went through it measuring all tolerances. He concluded no harm was done. J frames are tougher than people give them credit for.

The 147 +P+ is not the best 38 round, but it is not bad either. I have my doubts if it will expand from a snub. The Remington 158 lead hollowpoint will expand and it is reliable.
The FBI should have kept on using the 158 lead hollowpoint.