I had to have a .375 H&H also. I got a Sako action and had a smith put a barrel and make a stock from a blank. It came out ok but I did not know, at the time in the 1960's, that control round feeding was desirable for what could be a dangerous game rifle.
I was really into casting bullets then and I have a hollow point gas check mold for the .375. I shot a deer with that load.
That was long ago and now I have lost interest in that rifle.
We get guns that we want for the fun of it. Get a 375 when one comes your way.