I have the exact same rifle, and use the 210gr Noslers over H4350. They shoot really nice groups.

I actually prefer my Remington 700 .338WM over my Remington 700 .300WM. I think it is less sharp in the recoil department for some reason. Typically I shoot 180gr in the .300WM, and it is short and sharp when I touch it off.

Hope you enjoy your .338WM as much as I do.