If you had to pick one of these 3 cartridges which would you choose? The situation is mule deer and elk hunting in the northwest and shooting within 400 yards. I am under the impression that the 7mm generally shoots flatter within 500 yards. I could be wrong though. I know a lot of people like the 300 win mag. I don't know very much about the 28 nosler. So which do you choose and why?

7mm rem mag
300 win mag
28 nosler.