Take your pick of the several purveyors offering color case hardening these days.
Just be aware that there are 2 general costs involved.
The actual color case hardening is one. That usually runs around $350 (+) for a medium size frame L/A rifle.
Most of the time the prices you see quoted will be for parts being stripped/disassembled & pre-polished,,ready to be CCH.
The other cost you have to figure in is the disassembly,,the polishing necessary to get the metal parts up to standards for the CCH. Then the reassembly of the action.
Removing the bbl and re-installing it is involved,,no small matter as it involves using a bbl vise and action wrench, ect.
They're not going to do any of these operations for nothing. They do add up quickly.
Finally,,add shipping & insurance both ways.
These secondary expenses are not always plainly noted and you have to call for rough guesstimates or sometimes send the gun to them for same.
It can get close to $1000 for a decent job when it's all over.
If you can do all the 'prep work' yourself (disassembly, polishing, bbl removal, ect) and just send them the stripped parts that need to be CCHardened,,it's much cheaper,,and the shops appreciate that as they can quickly turn it around.
Your cost will just be the quoted CCH price and shipping/ins both ways for the smaller package containing just the stripped frame, lever, ect for work.
You put it all back together when it comes back home.
They always guarantee 'absolutely no warping' but having worked in that sector for many years I can tell you that's a fantasy.
Parts do warp occasionally. Most can be straighten back. Warpage is controlled quite well by most of the 'smiths. But there are no absolutes.
One secret if it can be called that to avoiding warpage is to minimize the hardening. Seems counter productive to what the process is supposed to be providing,,surface hardness.
But todays gun owners are in love with those swirly colors,,not much interested in the 'case hardening' part of the process.
So some of the work is done with no hardness imparted at all.
...Spiffy colors though!
Good Luck.
Turnbull will be the most expensive you can almost guarantee that.
RGS Restorations (Ron's Gun Shop) has always had a good reputation
RGS Restorations. Antique Gun Restoration, Gun Bluing and Custom Gun Blueing Services
Plenty more shops listed by Mr. Google.