I have heard good reports of the effectiveness of the .357 mag using factory Remington Soft-Point Corelokts, 158 grain, at reasonable ranges. I believe I would start with this, rather than going straight to a 180 grain bullet. As noted, the heavier bullet does not leave much powder capacity, and the 158 grain bullet should have plenty of mass.
If you dont' get the bullet performance you want from the Corelokt, I believe I would try a hard cast 158 grain bullet, before goint to a 180.
Best, Manny