After going through 40 gallons of mineral spirits to clean off the inletting black, I thought I'd list the tools used.
Anyone contemplating carving out a stock from a slab of wood doesn't have to spend a ton of money buying expensive tools and gadgets. If you have a home workshop, a lot of this stuff you already have.
TOTW barrel inletting black, a small brush and a raw hide mallet.
Hard white sharpening stone. And a fine stone with radiused edges for the curved gouge chisel. The leather strop and compound found on Amazon. It works really well.
1/2" mortise chisel, old Buck Bros., for stabbing in the barrel profile. It was put away after that task. 1/4" mortise chisel for scraping down the sides of the barrel flats. It's a Jorgensen from Lowe's and cut down to make a palm chisel. All the barrel cutting glory goes to a chisel I bought on Amazon. #7-6mm gouge. This came with four gouge chisels, white /orange roll, in a set for 52 bucks. I thought there's no way a 13 dollar chisel will stand up to this abuse. But if kept sharp, DAYUM!
A square for keeping the top barrel flat and side of the stock, you guessed it, square.
Two scrapers made from bits of tubing. the 3/4" OD did 99% of the work. the 5/8" OD was needed at the muzzle because the barrel is .760 dia.
A depth measuring tool and a width measuring tool. For barrel channel depth and web thickness.
Last, but not least, a stainless steel brush. Scraping down the sides of the barrel flats leaves little bits of raised wood whiskers that a foxtail won't remove. This brush gets those pecky fibers gone in a jiffy. So you can get a better idea of what the inletting black is telling you.
I hope this helps those who may want to take on this challenge.