Another option is just oil it.. boiled linseed, even raw. Made a macrocapa slab mantle piece (same home as above) using raw linseed.
Natural finish, gets bit scrappy, so long as dry, pour and spread out a layer and leave to soak in couple days.
I do like tru oil thu.about 1/4 or less of a small bottle I put around 8 to 10 coats on the gun stock.
Used a tiny bits of an old linen bed sheet about 4cm X 3cm max.. put on top of the bottle and gently skaken , not turned over to wet the rag.
Then rubbed in section by section, give an idea a big 'section' would be one side of the stock from wrist to front end.
Spread/ rub till just feel the slight drag.. no more.
18 to 24 hrs later, a wipe with 800 grit sand paper, wipe down any dust.. repeat
You may get a bit anal at this point, because as you lightly sand, in the reflection of the light you see the tiny est scratch, hollow, imperfection, and can sort of block these out as the number layers are put on.
I do suggest dont get to damn anal.. once put all that extra work in, and the perfection of the surface you will never use it
Anyway after the 1st few 800 grit layers, go to 1200 for the last couple, then the finish.
Oh this may be useful.. maybe.
I looked at blueing the steel on the air rifle.. L4 lockadown, Im not set up to do so properly, thought about black 2 pot automotive, enamel with and without plus 1...
Some yrs back on the suspension one of the vintage cars, I sorts experimented.. degrease water based tyre black , build up with thin layers till a nice even looking 3 may 4... then put bit polyurethane over.
Well it lasted yrs when it was not really meant to.
So did the same on the air rifle barrel , breech etc... except 3 very thin layers of the tru oil.
Grand children, primary school to early high school.. not a scratch..I never mentioned anything about "be gentle " etc.
And if doesnt work out, its real easy to clean off with damp rag of IPA, and even easier if put a little acetone in as well (nail polish remover.)