Decisions, decisions! As the saying goes, opinions are like azzholes, everybody has one. So, I guess I will bloviate for a bit.
If you want a lighter rifle, I recommend the WSM. I have a custom M70 in .300WSM that was built for sheep and mountain game hunting. The shorter action allows some weight loss, if that’s important to you. Mine weighs 5.6 pounds but it’s a custom build. The WSM is known as an inherently accurate cartridge. I shot a 2.5” group with mine at 400 yards. The flattest shooting and most efficient (retains the most velocity and energy) bullet weight for most .30 caliber cartridges at moderate velocities is the 165 grain bullet, followed by the 180 grain bullet. If you use a bullet that holds together, like a Nosler Accubond, Swift A-Frame or a Barnes TTSX, you are good to go. My rifle prefers the Accubond. I would consider the 180 grain a bit marginal for brown bear but I wouldn’t hesitate to use it or the 165 grain for all African PG and NA game. I’m not a fan of 200 grain bullets in .30 caliber, moderate velocity cartridges. It gives up too much trajectory for my liking and is unnecessary for moose and elk.
The .300WM is definitely a great cartridge, more popular and ammo is more widely available, especially over the PRC. Best load is the 180 grain bullet. A bit heavier rifle than the average WSM but not much of a difference in production rifles. Can’t go wrong here.
For me, the .300 PRC, while a great long range option, suffers from ammo and brass availability issues.
If you are not going to ever hunt DG in Africa and you want one rifle for all of NA and all African PG, I would go with
@Velo Dog suggestion of the .338WM. With a 225 grain Swift A-Frame or Barnes TTSX, it shoots the same trajectory as your .30-06 but with a lot more punch. I don’t see any advantage to the 250 grain bullet because trajectories suffer and there’s not an animal in NA or an African PG animal it won’t handle with the 225 grain A-Frame, Accubond or TTSX, with better trajectory.
Do you really think you won’t want to shoot a cape buffalo? If a cape buffalo is in the cards, all of the above is out if you want just one rifle. While a .338WM will work on buffalo, it’s not legal in several countries. Then the .375 H&H would be my choice. Loaded with the 270 grain Barnes LRX, it’s great short and medium range medicine for anything in NA and for African PG. Most guys on AH would tell you to jump up to a 300 grain bullet for Cape buffalo.
Let us know what you decide and good luck!