I recently inlet a swamped barrel using the "rails" - the process is described in the book "The Gunsmith of Grenville County".
This is a series of photo's with notes detailing the process (of course I had layed out some lines on the stock where I wanted the barrel to be located before I got near the blank with "sharp objects"
**the channel could be cut with a chisel, I just saved some time running it through my bench router**
(this may seem a little out of sequence, but at this point you need to figure how deep to cut)
You simply keep sawing and chiseling out until you have cut down to the level of the bottom of the side flats as marked in the previous operation. Yes, it's tedious - lots of measuring and checking. When you get to the level you want then you only need cut out the bottom flats to let the barrel fully sit down.
Some suggest that you don't have to be too particular here, others suggest you can go with a half circle and don't worry if the bottom oblique flats touch anything and yet others want 100% contact on all surfaces. I bed all my barrels so can get away with a (fair) fit on the bottom three flats, but still shoot for good contact - just don't beat myself up if I don't achieve it.
So after I have cut down to the bottom of the side flats, here is the next few steps:
It is suggested that you leave the rails in place until you are finished, I removed them to cut out my bottom flats being "super careful" not to touch the sides of the inlet - if your mind tends to wander when you are working, leave the rails in place.
This took me a total of 11 1/2 hours spread over three evenings - spent about an hour or so drilling the rails (which can now be used in future).
I would use this method again - works well and puts the operation well within the skill level of any hobby builder - just tedious and takes some thinking/measuring which is why I spread it over three evenings - you make mistakes when you 1) stop thinking or 2) try to rush to finish
A router with a template guide would reduce this operation to a couple hours and I will try that on a future build (but just maybe have an extra blank in case it doesn't work out as planned
So maybe a process worth checking into if you "just can't wait" to have someone else inlet your barrel for you.
p.s. - the instructions in the book do help get you head around the "set up" measurements that let the process work.