I used to see PH’s using 375’s for backup.All they could afford! I had The 416 Rem. Mag with 400 Grain Barnes monolithic solids.Felt pretty good about it! Till I had to shoot a wounded Bull elephant in the Jess! Went right out and got the CZ550 in 500 Jeffry.It just had the punch that the 416 didn’t,recoil was acceptable!
But you will probably need to change barrels to a faster twist on those heavy for calibre bullets. Fun to think about but without the 20 pound 50 BMG rifle with semi auto absorbing recoil, it would need someone recoil impaired to fire it !