Dave:
To cut cost on the brass, buy some Remington .300 Weatherby brass, run it through the .340 full length die and there you have it .340 brass at a fraction the cost of Weatherby brass!!
I have used this brass when I shot a .340 and it worked very well for all my hunting applications I put the gun through!!
But remember that Weatherby brass is manufactured by Norma, and the quality is very good. Nosler also makes .300 Weatherby brass if I recall correctly!!! this may be a better way to go from the quality standpoint.
In this caliber I found the 250 Barnes TSX and Rl-22 and 25 to be outstanding!! I still load for that rifle (sold to a buddy) and 50 rounds last him a long time when all he uses is 1 round per animal!!!
Good luck
Pm if you have any questions
Later