OP I have a couple questions ...
-what is your real, no BS goal?
-do you plan to hunt primarily in CA or will you be mostly hunting in other states where non-lead can be used?
I would say very confidently that going from your 300WM to a 7PRC will make, at best, a very small improvement to your ability to kill game at range. Slight recoil reduction (but not much), better stock design (maybe), will make it more pleasant to shoot by a small margin. You're not out-shooting your current rifle, you're fighting with it.
If you get to the range every 6 months, there is zero chance that the rifle is the limiting factor in your effective range (other than being too much recoil). You need skill, not gear, to get proficient.
That said, the skill is VERY hard to develop if a 300WM or 7PRC is what you're trying to train with. You need a lower recoiling rifle in order to learn to shoot.
If the answer to question two is that you'll hunt CA a bunch and need excellent non-lead performance at long range, and the answer to question one is that you want to be effective killing animals at extended range, you really need two rifles. Monos need speed to kill well, and from what (limited) experience I have, larger ones do tend to work better than smaller ones. You don't get big bullets and high speed without stout recoil. You don't get good training value without low recoil.
If you were to pick up a pair of semi-custom Tikkas (one in 6mmARC or .223 and I e in something bigger, I would not go 7PRC but maybe 6.5PRC?) and plan on upping your range time dramatically, shooting at least a thousand rounds a year out of the smaller rifle and a few hundred out of the larger one, you will absolutely be a more effective killer at any range than you will be if you buy the very best 7PRC in existence even if you shoot it twice as much as your current 300WM. You'll also have more fun. The Tikkas might not make all the other girls in class jealous the way a Defiance action custom will, but you'll be a 10x better rifleman.
If you mostly hunt out of state, maybe it's a different story. A full custom super sexy 6mmCM and a new barrel every year or two could be a "one rifle" solution. I'd still 100% recommend a .223 training rifle, but if you have deep enough pockets to buy 1500 rounds of 6CM ammo and a barrel every year it's a viable option. 108 ELDM's started at 3k fps (possible with a 24" barrel) will kill very well a long ways out there. Monos and reduced terminal performance for in state hunts and ELDM for practice and out of state hunts could work very well.
On your specific questions, skip the carbon barrel. It's heavier and doesn't deal with heat as well as a good steel barrel.
What is your general level of comfort doing mechanical or "buildy/crafty" things yourself? Do you work on cars, bikes, electronics, woodworking, or other similar things?
It's not rocket surgery, and you don't need to be a master craftsman, but a general sort of competence in working with your hands is very helpful. Putting a barreled action in a stock and mounting a scope correctly is within the ability of just about anyone who can be trusted with a sharp pair of scissors (lots of guys screw it up from lack of knowledge but not lack of ability).
Sorry for the long post/rant, but I think it's really important to help you achieve your real goals, a lot of us have made some of the mistakes that are really easy to fall into when we were where you are now. Productive practice and training (in field positions) is what lets you be an effective killer past 300 yards, not a more "capable" rifle. I don't know if you're a motorsport guy, but it's the equivalent of "I can't ride my liter bike/450MX bike/Z06 Vette as fast around the track as the guy on his 400 sport bike/250 MX/Miata, so I don't actually go to the track very often." The answer is not to get a full custom race car that is essentially the same as the big bike/fast car, it's to get a great training tool like the fast guys are riding, and actually go to the track more often. The Zen-like bonus is that in time you'll learn that the "training tool" is actually also a great "doing it for real" tool.