I have a 375 tamed by a visit to AnswerRifles (go to answerrifles.com). They put a slimline muzzle brake on and a special butt pad that has 5 internal double springs. Recoil now is about like a 243. The cost for the complete package was about $200 several years ago.

As an alternative, I purchased a 300 Ultra Mag last summer which is no slouch when it comes to recoil. I had an old Browning mechanical recoil pad, that skeet shooters use on shotguns, hanging around so we mounted it on the 300. Avoided the noise of the muzzle brake and reduced the felt recoil substantially. Don't know why more manufacturers don't offer this kind of option for a stock. There are several different types of these recoil reducers around. You might want to check at a skeet range or look through some skeet magazines. I have one called a Hydra-coil on my K-32 which also works well and could easily be adapted to a rifle.

Sure, I can take the pounding but why try to prove something with all that?
Just some ideas.