Honestly it doesn't matter a whole lot what weight the bullet is then. Look at what is available, and shoot for the middle of the weight range.
It will be plenty for anything hiding in the woods in your part of the world.
There is a ton of 357 ammo available out there. For plinking, I would try and find some 38 sp. +P in the 158 gr. SWC. I have shot a bajillion rounds of it in mostly Winchester brand or handloads, but I'm sure others make it. That same weight jacketed bullet in 357 Magnum should also do you well. Probably more brands out there than you can sort through. I even see that Fiocchi is manufacturing it. I have been impressed with the Fiocchi shotgun ammo over the last several years and actually picked up some in 22-250 that shot quite well.
Federal used to make some pretty peppy Magnum ammo back in the day, but not sure about their offerings nowadays.
Not having anything specific in mind ... most ammo selection being depends on the target...
A good all around choice would be in the 158 grain weight .
158 grains has been the sort of standard for 38 special and on to 357 Magnum .
It's sort of Goldilocks ...not too heavy and not too light .
38 cal bullets run from : 110 gr. , 125 gr. , 140 gr. , 150 gr. , 158 gr. , 160 gr. , 170 gr. , and 180 gr. . The 150 gr. , 158 gr. or 160 gr. weights would all do for most general purpose shooting .
But with the ammo supply situation being what it is ... buy whatever you can find !
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