I would either pick my Win m70 338 win mag or my Win m70 375 H&H.
The 338 has a Nikon monarch 3.5-10x50 on it, from day 1, and I shoot the 225 partitions over a max charge of IMR 4350. I have killed more elk with this rifle than any other. It kills like the fist of God. I have never had one take a single step after 1 shot. Most were standing or walking when hit, one was running full tilt when hit. All have gone down like the very ground they stood on was ripped out from under them. The longest shot was just over 300 yards. Most were less than 200 yards.
The 375 currently wears a Nikon monarch 1.5-4.5 on it. I'm seriously considering a larger scope for this one, say a 2-7x to get a bit more distance out of it (eyes are getting older). I have shot the 300 gr partitions with IMR 4350 from this one. Currently, I'm playing with the 300 gr Sierra's and the 270 Hornady interbonds in this one. I have only shot one cow elk with this rifle, with the partition load, and the result was exactly the same as the 6 cows I've shot with the 338. I did also anchor one of my brother's cows with it, after he hit it badly with his -06. It came hobbling over the rise and I center punched it in the chest from less than 100 yards to put her down. Not blaming the -06, but the bad hit my brother made on that one.
Mostly I go with the 338, as it's a bit lighter in weight and easier to carry in rough country for extended periods.
I have taken 1 bull with a 30-06, and been with several of my hunting buddies that have shot 270, 308 (my dad), and 30-06's (my brother). They all work if proper shot placement, but there's just no comparison to the reaction to the shot of a 338 or larger. I also like to line up my shot so that I can knock out at least one of the front shoulders, both if it lines up that way. It's comforting to have the power and penetration to reach the vitals on an elk from any shot angle that can be presented to you. Adds to the flexibility of the shot.
Just my 2 cents worth...