OK, I understand buying something to play with, I'm a tinkerer myself. Also have a badly torn up right shoulder, another long story involving a heart attack and 3 electric shocks, so I also understand the need for a light recoiling rifle. (Hope you get better soon.)
I am a fan of the .243 though, at least mine. It has done everything I've asked for some 30 years now, with very light recoil. I can't stand even that much kick right now but if I could go into the woods this season it would be with that rifle, not my .35 or -06. Meaning, why not give the 243 a chance? Try squeezing another quarter inch off the groups, that's fun. Use it awhile, bed it, tinker with the trigger, clean the checkering, etc. and see if it doesn't grow on you a bit. If your shoulder is anything like mine you will appreciate the low recoil. And good accuracy always helps me like anything!
Good luck, Jim