My grandfather once told me to never buy a .38special because you could always shoot .38 cartridges in a .357mag.
However, in a 2" snubbie, a 158 grain .357 will be more than a handful. That being said, I carry a .357 M&P340 loaded with 135grain Speer gold dot short barrel rounds. They spec out between .38+p and regular .357 and have the recoil of the .38+p. IMHO, I am pretty darn good at seven yards or less with this round (the intended use), but it is still not super comfortable to put 50 rounds down range. Then again, it's not meant to be a target gun.
So.... I carry this configuration EVERY TIME I leave the house. It is very comfortable to carry, and I usually pocket carry in a Desantis 'Super-Fly' holster. It doesn't print or pull down my pants. i also carry a Bianchi speed-strip loaded with .38+p in my other pocket.
Now, I know this particular gun is pricey, but there are lots of .357 options out there that are light and easily concealed. I think this would be a better option in terms of CCW than a .44 snubbie. Given the confines of your OP, I would go with the .38 and load it with +Ps. All of this is my opinion of course.