Ok, you mentioned a prefix of 34,, so that makes it a .357 right?
A NM bbl,, can usually be found for $40-$50.
BUT,,,, installing it can be where the money comes in. If the bbl needs fitting,, as they usually do,, a gunsmith will need to cut the bbl to where it will install correctly,,(When screwing it down,) AND possibly have to cut the throat & face the bbl to allow for cylinder gap etc.
Gunsmithing time can be a little or a lot.
Now,, there are SOMETIMES ways to do these jobs w/o as much expense. If the barrel screws in easily,, and get to a stopping point about 10 degrees prior to top dead center,, no cutting of the barrel shoulder is necessary. And if the cylinder can rotate while the bbl is screwed in (but not torqued down yet,) w/o any binding or a large gap,, again,, no cutting is necessary.
Hand filing is always an option,, as usually not much material has to be removed. A lathe can easily cut the shoulder of the bbl for fitting. Same for facing the bbl for cylinder clearance. Cutting the forcing cone is sometime necessary if the bbl was faced much. Hand tools or machine tools make the differences.
And of course,, when removing an old bbl,, a proper vise, and tools are necessary to avoid warping the main frame. Same when installing one.
It's usually cheaper to get a gunsmith to do such jobs.
And gosh forbid,, if anything is marred or scuffed during this,, a re-blue may be necessary.