I'm not much into shimming, etc.

I just free float the barrel, glass the action. It never hurts and often helps.

And, I'd look at the barrel thru my Hawkeye borescope. A pretty bore doesn't guarantee accuracy, but when there's a problem, the scope can sometimes help diagnose the problem.

And, of course, trigger and scope. Sometimes it's good to see groups by another shooter, just to eliminate as many variables as possible.

DF