A brake would probably be the most effective, but like you said pretty loud. I was going to suggest a slip on gel type recoil pad. I have one and it works pretty well. Or a shooting jacket with a pad built in.

Some rifles just recoil very sharp, it has to do with weight and stock design. Adding some weight might help. I had a savage 30-06 that was not bad to shoot really. I bought my step father a remington pump in the same caliber and I hated it! One of the sharpest recoiling guns I have ever shot.

It might also be the way you hold it. When you are shooting try to relax. Don't be all tense and lean into the shot. Just butt the rifle against your shoulder, relax and squeeze off the shot. Don't pull it hard into your shoulder or lean into it trying to counter act the recoil. This actually makes it hurt more. If you relax your body will recoil with the gun and it won't hurt nearly as much. Same concept as an auto accident. relaxed people don't get as injured as tense ones that know it is coming. This is why drunk people tend to get hurt less in accidents. They are more relaxed.

You can also get a heavy rest that helps soak up the recoil when bench shooting.

I am smaller than most women and don't have trouble shooting guns that most think kick hard. I shoot close to magnum loads in a muzzle loader, 3-3 1/2 in turkey loads, 12 guage slug guns and some high powered rifles on ocassion. And I only weigh like 115-130 lbs. I weighed 90 lbs when I owned my 30-06. It would spin me around when I shot it, but I never really got injured shooting it. Ok, I got the scope in my head once because I wasn't paying attention.

I also don't bruise though nor have I ever broken a bone in my body. Some people just are not made that way. I could poke my Ex wife with my finger and she would have a bruise the next day. I got hit with a bat once and all it did was leave a bump for a few days.

I think a good recoil pad and a relaxed shooting style would help you quite a bit though. I used to not like shooting bigger guns until someone showed me that. It made a big difference for me.

Good luck,
Paul