I've never felt the recoil from any shot I've ever taken at something that bleeds. Even shooting a .325wsm from a light hunting rifle in an awkward position. Never noticed the recoil as a matter of discomfort. Always seen the critter get hit & been sure of the hit/miss status.
As far as noise, I can't stress enough to the small number here that don't already have chronic tinnitus that you seriously don't want it and brake or not, wear electronic hearing protection while hunting. Please please please protect your hearing. My own tinnitus is 4500Hz, I perceive it around 85dB & it never stops ringing. Everything above 4500Hz is completely missing to me (sorta, as I hear a LOUD shrieking ring in my ears 24x7x365). I'm basically 3/4 deaf. My hearing was taken from me by someone with a bad sense of humor against my will. You have a choice while hunting though.
You won't even know you're actually deaf until you start re-watching a movie you've seen before but now have the subtitles active and find out there's whole wads of conversation and sounds you didn't even know about that make the movie make a lot more sense. It only takes ONE TIME. Any of your hearing that you lose is done forever. NOTHING will bring it back. Ask me how I know.
Watching Saving Private Ryan or any war movie is very different for me than for people with normal hearing but I didn't know until someone commented on particular sounds and I was all like, "what squealing?".
If a brake will help, use it. No matter what, electronic hearing protection does help. Use it.