muzzle brakes ?

Ultimately you are wanting to retain your sight picture after trigger is pulled, you'll need a brake on a magnum to do this. A directional brake like the Terminator could be just what you need. I found the electronic muffs were not enough protection for built up shooting positions, like ranges etc.
Mates will need to adjust their habits to accommodate you, been there done that, no real issue as hearing protection should always be worn.

Muzzle brakes offer a few advantages over suppressors better recoil reduction, shorter and lighter weight.
This comes with the down side of being loud which means hearing protection is a must, and if you are shooting a lot may need to double up with plugs and muffs. The also annoy other people so some ranges don't allow them.
The muzzle blast is often annoying to others with the added down side of blowing up dust and debris.

But probably the biggest down side the the back blast you often get from brakes which ranges from mildly annoying to horrible. It can be bad enough that a day of shooting will leave you with a headache.

For hunting where you'll barely fire a few rounds a brake is probably a better option.
If you are shooting a lightweight 7PRC the recoil is always going to be an issue.
Shooting technique can help alot as well as a better bipod/rear bag set up, but low weight and high recoil is always going to be an issue.

In saying that you shouldn't entirely loose your sight picture, so there are probably rifle setup and shooting techniques that you could look at changing.