Louis,
I just looked on the Hogdon site and they list a load for 200gr cup n' core at 2850-ish FPS.
Hodgdon BL-C(2) .338" 3.310" 55.0 2,700 52,500 PSI 59.5
2,856 62,300 PSI
You could throw a 200gr Woodleigh in there and still be pushing 2031 FPS at 400 yards. Woodleigh guarantees excellent expansion down to 2000, and the bullet is stellar, by all accounts. Made specifically for the .338-06 and .338 Fed.
http://woodleighbullets.com.au/bullet-lists/traditional/338-375-list
Cat # 56D
$42 CAD for a box of 50 at TradeEx.
Oh, and you'll see that Woodleigh makes a 180gr Weldcore as well. You can get that going blistering fast and reach out even further. Worth playing with, IMO.