The first question has to be; what twist rate does your rifle have ?
The Reload Bench
"When loaded with a 140 grain spitzer, the 7mm Remington Magnum is a powerful and flat shooting cartridge, but for all use on game up to the size of elk and moose the cartridge is seen at its best with a 160 grain bullet loaded to about 3000 fps. For big game loads, the single best powder for use with all bullets weights is
H4831. When loading the heavier bullets,
H1000 also does a fine job. In target rifles, faster burning powders such as H4350 and
IMR-4350 often produce the best accuracy with match grade bullets."
Gunners Den
Because of the velocity range, quirky nature of .284 diameter bullets in that velocity range and the 7mm Rem Mag barrel concerning bullet performance with various twist rates by various rifle manufacturers, here is a barrel and bullet guide:
1 in 9" Twist Rate: 160 - 175 grain bullets, barrel length 26" for maximum performance on large game such as moose and big bears.
1 in 9 1/2" Twist Rate: 140 - 160 grain bullets, barrel length 24" for maximum performance on big game such as antelope, deer, elk, moose and big bears.
1 in 10" Twist Rate: 115 - 140 grain bullets, barrel length 24" for maximum performance on varmints, predators, antelope, deer and elk.