Without a doubt, a muzzle brake
will help with stability and recovery with a magnum. The big issue is noise. You don't shoot one of these without ear protection or you will get hurt!!!.
Saying that, all my LR hunting rifles wear muzzle brakes
because I hunt from static locations and have time for ear muffs.
The one I have on my 7RM is both economical and works great. It's the Micaluk (sp?) AR15 brake. Had it screwed onto my Savage 110 sporter barrel and exit hole enlarged. You should be able to have one bought and installed for $150 or under. That's great value.
Multichamber, side ported brake that is quite wide. Recoil reduction is wonderful. More like a 22/250 then a 7RM launcing 162gr bullets in a 9lbs rifle. LOUD but that means the brake is working.
You might like this for your rifle.