I am just starting to load for a .338 as well. I have been loading 200 grain Hornady SP's over 69.0 grains of H4350, sparking them with Federal 215 primers and using only the manuals as a reference, as I have no chronograph, these loads should be moving in the neighborhood of 2750 fps. I wanted to work my way up to full magnum loads, and decided to ease my way up, as it were.
If memory serves, there is a Nosler Accubond in the 200 grain weight category, and if I were heading out moose hunting, I would probably put together some of those if I were determined to stay with the 200 grain pill. Otherwise, I would probably try to work up some kind of load with a 210 grain partition.
(I say that, never having pulled the trigger on a moose before, so take that advice for what it is, speculation.)