Just a couple things. Take everything i say for what you think it's worth. .02 might be overpricing it!!
A basic rule, or better stated "fact" is that the hardware and barrel selected determine the shape. So, in order to thin the stock around the barrel you will have to reshape the nosecap. Otherwise your entire forestock from the lock panel forward will have to fit with the "as issued" shape of the nosecap. So, decide the shape (architecture) of the forward portion of the stock that you want and then shape the nosecap to it. You can probably best just leave the nosecap untouched and re shape it when the stock suits you. Clear as mud I'm sure!
Finishing with BLO seems to be much more popular now than it was during the historical period of the longrifle. The drying times defy practicality. Many of the old guns appear to have been finished with varnish as made by violin makers of day. My suggestion is to research those varnish recipes and recreate them carefully documented here to save me the time and trouble of doing it myself.
The ultimate practical present day finish is probably Birchwood Casey True Oil. Sold in small quantities that is more than enough for several stocks. It's linseed oil adjusted to act like a finish should. Usually dry in 24 hours but +/- depending on climate.
So, there you are. Subsequent comments will both amplify and destroy my suggestions bringing you to the point of confusion and regret and ultimately driving you into a dark place making you safe from us Internet Monsters