sorry to hear you don't reload!
that being said, if you know someone who can, .357 can be pushed to almost 2,000 fps from a handgun with a 10inch barrel, check Hodgdon: H-110 data
think about that out of a longer barrel, versus a .223 from a shorter barrel than the load is probably designed for.... you're getting spitzer ballistics but not the speed to really milk that advantage, the .357 will give you double the mass and way more frontal area-no it's not for shots past 50yds by any stretch of the imagination but with a fmj I bet it would go through just fine (if fmj is legal, it's not for deer hunting in missouri) but a hollow point up close (in 25 and probably farther will be devastating--it's not a question of power but a question of whether or not the bullet will hold up upon impact-- it is a hell of a varmint load I promise you!!!)
here's what I do for a taurus 608 4" ported, I load up starline nickel brass with federal small pistol magnum primers, 21.4-21.5 grains of powder H-110 pushing a 125 Hornady XTP... it's disgusting how powerful that is from a short barrel, I can only imagine what that does from a barrel over a foot long.... I just don't know if the bullet would even hold up for a close up shot but it'll frag for me out of my 4" in a two liter at 25yds, completely blows up the bottles which a hp 308 won't do (it's not more powerful but it TRANSFERS more of it's energy to the target) so I know it'll be adequate for "varmints" or human beings/social problems. I've also tried that load with berrys double struck .357 plated hollow points, they do NOT fragment like that on soft targets and they're cheap, but berry's says not to push them past 1200fps so it's probably not a good idea to put them out of a rifle with a max load. Also if you drop the charge down to about 20.8 that's probably okay (I have to if I want to hit anything reliably, the gun has an insane muzzle flip with the extra half grain). I know you don't load but if you have any friends who load, try it. Make sure it's someone reliable though, H-110 is a super finicky powder that doesn't ignite and burn properly if it's not a full load and from minimum to max is only about a grain of powder in most cases so either it will hang-fire or blow up your gun if you're not right on. ..... that's probably not reassuring but I'm not gonna give you the good without the bad. You gotta start loading eventually but in the meantime don't believe .357 isn't semi-magical, you just gotta put the right "fairy-dust" inside the cartridge and top it off with a good bullet. Seriously though, it's a varmint round if it's going fast enough, which it can.