jyeomans, 2 things I would do to your gun to reduce the felt recoil. First as mentioned, a better recoil pad. There are a few real good ones on the market, I really like the Limbsaver pads and the customer service that goes along with finding the correct pad for your rifle. The recoil pads usually run about $50. The pad by itself will really help, but if your stock doesn't fit you properly then you should have the stock fitted to you prior to buying the pad, as cutting the stock will change the size and shape pad you need. Finding a premade pad is the cheapest option, custom fitting a pad get's a little mor expensive. This is where Sims Limbsaver customer service is most valuable.
The 2nd thing I'd do is install a mercury kick suppressor in the stock of your gun. The brand I use is BreakO. They come in different sizes to fit different stock bolt holes. By removing the recoil pad, you can measure the bolt hole diameter and depth. You get the largest one that will fit in the stock bolt hole, wrap the suppressor with tape to create a very snug fit. Then you cut a wooden dowel the size of the hole, cut it flush or a little lower than flush with the stock, drill a hole through the dowel on an angle so as not to hit the suppressor, screw the dowel into the stock (on an angle from the end of the dowel, out the side of the dowel, into the stock) so the suppressor can not move the length of the hole. The suppressor is now mounted solidly in the hole so it can not move in any direction, put the recoil pad back on, you're ready to shoot. The BreakO also is about $50 if you install it yourself.
I did both to my 3.5" 12 ga Mossberg 835 and it makes the gun much easier to point because of the added weight in the stock and now I can shoot it with out getting hurt. Between the two, the BreakO takes away, deadens some of the kick, the pad cushions the kick, a muzzle break redirects gas pressure to counter act the kick.
Your 3rd option is a little more expensive. Have a muzzle break installed on the barrel. This will make your gun kick and jump less but also make your gun much louder to the shooter. Probably about $100 or more.
The last option is to get rid of that gun and caliber and go to a caliber that's more shooter friendly. 7mm08, 30-30, 243, there are a lot of options to choose from. You'll be much happier and a better shooter with a gun you can handle. Low recoil ammo? Kind of like buying a Porsche with a VW Bug motor in it. It just ain't right. lol You choose your bullet weight and shape by the animal you intend to hunt, if you are choosing you bullet weight and shape for felt recoil, you are shooting the wrong caliber. Bullet weight makes very little difference in felt recoil. The energy comes from the gun powder, not the bullet. If you can tame your gun so it's comfortable to shoot, great, if not, I'd get a different gun.
American by birth, hunter by choice.