For me,and lite sporters(bolt guns)is about all I care for these days;
It's about how well it fits/shoulders/swings first off.Small to modest scope size(3-9x40 seems big).Fast comfortable sling.
Do the whole close your eyes,mount,excersize...... if there's a hitch in that,recoil is only going to make it worse.Now,dry fire it religiously....... then dry fire it some more.Keep at the blind mount.
Then,use reduced loads.Most std cartridges will have at least one accuracy node somewhere around book starting figures.If not,snag some 4895( where appropriate) and go lower. Probably around 2400 fps on a 308 based case,you'll find a node.Now shoot that rig like an overgrown rimfire.
Check cold bore zero regularly,but then get on with field position "beercan" accuracy.Start with hits anywhere on the can @75yds. Then only "ends".Keep moving it further,wash repeat.Confidence is a huge player IMO on making you better at rifle craft.Sporters and benchrest seems to frustrate folks? Because,that's NOT what they're designed for.And save the full house loading for hunting,dosen't take but a few minutes to dial in your scope.Good luck with your project .