I realize that this isn't a popular answer but you can achieve excellent results with standard a RCBS full length sizing die set. I've been doing it for almost 50 years now using them for big game, precise varmint and predator hunting.
The really important thing is to learn how to properly full length resize your cases meaning an approx .001 to .002" shoulder bump. This will provide flawlessly chambering in the field which is critically important for hunting reloads and will not reduce accuracy potential.
The 06 is one of the easiest cartridges to load for with an abundant of proven bullet / powder load combo's. In a quality rifle with a quality scope you should have no trouble shooting at least 1 moa and most likely a lot smaller.
The real dividends in terms of field results can be achieved by learning how to become a skilled field shot meaning practicing in field shooting conditions at various ranges you intend to shoot during hunting. This means getting off the bench and using whatever field shooting aid you intend to use while hunting, i.e. bipod, shooting sticks, etc.
Don't get caught up in paper ballistics, equipment and theoretical reloading. The old 06 is an excellent choice for almost all big game hunting in North America.
I hear you, I used to shoot stick bows a lot, need to get back into that, but you practice by going out in the woods and shooting random things at wildly different ranges.
my hunting rifle is a 308 though, I’d like it to be as accurate as possible because I prefer to take brain shots on deer to save meat and that is a small target.