I agree with PRM. A 200gr, cup&core would be a Solid "getter done", a 200gr Mono would cut the range capability considerably. If you are dead set om Mono's then I would drop back to a 185, or the 160.
The 338 Fed is a Great cartridge, but in truth has a narrow range of 'acceptable' loadings that optimize it's potential.
With that said, I'm still burning thru a host of 180-210's Noslers whenever I can get to the range.
"Be polite, be professional, and have a plan to kill everyone you meet." Gen. James Mathis, USMC