Andrews,
PS:
I forgot to say that, even though I have only been to Africa a relatively few times and those were mostly for non-dangerous game, I would not hesitate to use the .338-06 with 250 Hndy RNSP over there, for all species that it is legal for.
Again, I am just a beginner compared to many in this forum.
However, the above combination seems to me that it'd be just about right for a general bag, including tough guys like zebra (the armored car of non-dangerous game), gul-dag wilder beasts and eland, etc, etc.
Some argue that eland are not so tough but I would retort that: Perhaps that is so but, one must remember there is much muscle and bone to get through to the vitals on them.
On my last safari, one of my amigos shot one of about 2000 pounds, near The Kruger Park, with his .35 Whelen / 250 gr "Core-Lokt", boring old Remington factory ammo, in the Green and yellow box.
The bull staggered, belly flopped and took a 2nd 250 grainer, (again on the shoulder) which, finished it about instantly, or close to it.
No 3rd shot needed.
The Whelen is not a .338-06 and the bullet he used is, I suppose a spitzer or semi-spitzer but, it is all quite similar.
The PH (John Luyte) said it was one of the largest eland any client of his had ever taken.
My friend also took other species with that load and has nothing but praise for it.
On his first safari, by the way, my friend used a .270 Winchester and 140 gr Swift A-Frames.
He shot many species with the little rifle.
Incredible bullet and highly recommended but he has switched to the .35 now and very happy about his decision, even with old fashioned Core-Lokt bullets.
Point of all this is that, your Hornady RN, 250 grain .33 bullet @ around 2400 FPS will be totally fine for Africa.
Sorry this was so long-winded but I had one too many espressos this morning.
Out.
Velo Dog.