Another thing to do is invest a little money in a Caldwell Leadsled.....You can sight Your Rifle in with it,then shoot a few free-handed off a weighted bag and see how well You do!I sight all my Rifles in with my Lead Sled so I don't get a sore shoulder then I shoot it free-handed and make sure I can put the shot where it was hitting while using the Lead Sled.I have had my shoulder operated on a few years ago and when I go to the Shooting Range the Lead Sled helps make sighting a gun in so much easier and enjoyable...and I usually get several others there asking to borrow it (the Lead Sled) so they can sight their Rifles in too!
I also shoot a Browning A-Bolt Hunter in a .243 and I really like the less recoil in that Rifle and it has helped me not to flinch when shooting and I have taken several large Doe's and several nice 8-Point Bucks with it also.You can't beat the accuracy of a Bolt-action Rifle and with less recoil it will help You become a better Shooter/Hunter...a lot has to do with good shot-placement,so practice a lot with Your Gun and make good ethical shots on any Game Animal!