I just had a Browning BBR that was in 7mm Rem Mag converted to a 340 Weatherby Magnum, this thing is amazingly accurate, yes, it does kick some, but I also have it pushing a 250 Grain bullet out at just over 3000FPS (hence the kick) from a 26.5" Gaillard stainless barrel.
Yes, the brass is a bit pricey, you can order new Weatherby Brass (technically it is Norma brass) from Whole Sale Sports at about $32 for 20 pieces or a box of loaded ammo for $58 to $115 (depends on what you want).
Like other have mentioned already, you can also form your own brass as mentioned earlier.
Good thing for me that I reload, other wise this beauty would cost a small fortune to fire every time. I like this caliber, it's going to be fun.
Some of the older Weatherby chambers had a longer throat than the newer reamers and manufactured rifles of today, this longer throat didn't help accuracy at all, so be careful as to which model and year that the rifle was manufactured, you can seat a bullet out long enough maybe to compensate for the longer throat, but I can promise you that the longer seated bullet will not cycle through the Magazine since it will no longer fit the magazine at a longer length.
Pardon the pun here, but the 340Wby Mag kicks the snot out the 338 Win Mag, but at the cost of about ten grains of powder more than the 338 Win Mag for an additional 150-250 FPS increase in velocity and recoil. Is it worth it? some would say yes (like me, far better ballistics) and others would say no, to each their own.
If your not used to recoil, I suggest that you work your way up from something smaller first, other wise the guns going to engrave it's name into your face.
I've already got the 3 and the 4 engraved in my forehead the 0 is next.
