357 will cost more. But likely will have more heft to it, which may make it nicer to shoot. It will still shoot 38's though.
I only really follow Ruger. IMO the LCR series is hard to beat for a decent gun right out of the box, at least by most reviews. I had the 38spl version, but quickly traded for the 357 version, as the recoil was too much for me. The 38spl is a great lightweight gun; I definitely noticed the extra weight of the 357--but that extra heft made it much nicer to shoot.
Even nicer to shoot is the SP101, which usually can be had with a hammer spur, if you are into single action shooting. Nice looking gun, easy to work on, and pretty small, but even heavier than the LCR.
Make sure whatever you get is still in time. Might not matter as much with just snake shot but I'd check anyhow.