You will probably need a couple of wood Chisels , ( 1/2" and 1/4" ) , a Razor Knife, some Files both Mill and Bastard, some Red Lipstick, a flat scraper and the usual Screwdrivers , A bench Vise, some clamps and
Maybe Pliers, and a Mallet.
You are correct about leaving the Dremel tool on the shelf.
It is VERY Rare that I ever use one when making or Fitting a stock.
But some kits will require you to use a drill for some stuff, but mostly just for drilling pilot holes for screws.
I wish I had my shop done, and I could build my Traditions Hawken at the same time along with you.
There are so many things that I do when building a rifle, they have just become second nature.
I can not remember everything , until I am actually doing it.
But , Hay
We are all here for you, either on the Forum, or by PM if that works for you.
You will need a selection of Sandpapers like 100 , 150 & 220 Grit for wood.
Also some Black Wet and Dry sandpaper in 100, 150 ,220 320 & 600 for polishing the barrel.
For that you wrap the sandpaper around the files for draw Filing with light machine oil.