IMO the action, scope, bedding and even the barrel are not as crucial to accuracy, as the trigger. The ammo is the only thing IMO that will have a greater affect on your groups.

also overtravel or "creep" is more important than weight IMO. I'd rather have a 6lb ,crisp trigger pull than a 3lb mushy trigger. Watch your finger as you pull the trigger, if the trigger moves before the hammer drops, you have too much creep in your trigger.

I have a rem 700 w/ a RIFLE BASIX drop in trigger. Cost about 90$ & took me 30 min to instal ,but a factory 700 trigger (preXPRO) can be user adjusted to be pretty good too. I also have 2 ACCUTRIGGER savages, set around 3lbs and break like glass. All very accurate "hunting" rifles.