You might want to consider a muzzle brake for that. and both ear plugs and muffs..338 Thor > https://www.longrangehunting.com/threads/my-338-thor.327058/#post-2776837
Weight is your friend when it comes to felt recoil. An effective muzzle brake serves two purposes: reduced felt recoil and muzzle jump/rise. The latter is often not realized.