Oy vey! Yes, the hazards of not checking facts before posting. Again.
Where I said 316 above, I was actually thinking of 416. I have a few pieces of 416, and can attest to it's machinability.
Hand a chunk of Monel to a barrel maker, and if he dos not tell you to #### right off, he has never tried machining the stuff. It really is slow paced misery to machine, and most of the machining processes used in barrel making (deep hole drilling, reaming,cut rifling) are pretty much the polar opposite of what works well for the high nickel alloys like this. Typically, those are processes that rely on a light cut, small chips, and decent machinability of the parent material.
I'd suspect that button rifling might actually work OK, just that getting the hole in there in the first place would be hellish. Typical machining on high nickel alloys involves a very slow moving tool, taking a heavy cut to get under the work hardened layer that was created on the surface left by the last pass.
Not saying it couldn't be done, just that it would be a costly exercise, for no real benefit.
Cheers
Trev