While I prefer a lighter bullet for defense, the heavier bullets are what I load for taking a 357 to the woods. The old standard was the 158gr LHP or SWC and I still find this particular bullet weight, or something close to it, a good choice.
It is interesting to note that the gas check is the way to go when loading lead bullets for this caliber. There are SWC and SWC HP available.
Once upon a time, when the only 357 guns available were stury N-frames, Ruger Blackhawks, and big Colts, the cartrige was loaded pretty hot. The advent of the modern, lighter magnums has affected maximum recommended loading data appropriately. Match your woods rounds not only to the chore, but to the particular firearm as well.