Test drive there are many suitable plinking loads for 357 magnum.
Neat thing about casting your own bullets is once you have your bore groove diameter, and cast or size ~.002" larger than this dimension, using a proper bullet grease/lube you can have a whole lot of fun for not a whole lot of money.
Me I chose the Lyman 160 grain RNFP bullet, though there are others that might work. I chose it due to the really wide grease groove that carries plenty of bullet lube, to assure that my slugs make it out of a rifle barrel without leaving lead in the bore. And you are right, in the velocity range of the 357 magnum, I haven't found gas checks to be necessary.
Some say you need hard bullets. My experience has shown that to be unnecessary, having shot even 30-1 alloy through a 357 magnum using 13.3 grains of 2400 powder, no shrinking violet load, without any leading in the barrel. This was possible because of the dynamics of the bore and properly sized bullets.
The powder choices are many. I have found cast bullet friendly powders work better most of the time. I like Unique, 231, 2400, IMR4227. Somewhere in there, you will find something that works for you.
13.3 grains of 2400 is a nice, warm, but not hot, load. 5 grains of 231 is a light load. You might want 5.5 of 231 to get cleaner burning. There are Unique loads all over the place... that is a great powder. I use CCI standard small pistol primers with these powders.