Why settle for Pre-64 .375 H&H Winchester when for not a whole lot you can have this....
From Hanks little Flemish factory....

If ones hands are large enough why not? It will require investment in professionally fitted hearing protection (I think it's called Game Ear?) but that is sound investment. Theoretically super Magnum action is preferred for caliber like this, but then one would not end up with lovely 9.5lb rifle that does not require gun boy to carry. Anyhow a big step up from Winchester Model 70 for sure, yes.
Oops, I forgot when you go to the range you will have the range all to yourself. That is the way I like it.