Send the barrel and bolt to Que. He will re re-chamber the factory barrel and from what I've heard from many people, it makes a very significant improvement in accuracy. The bolt will have the proper headspace set, the firing pin will be "pinned" to prevent it from rising up in the bolt channel, it will also be re profiled for better firing pin strikes, the extractor gets "tuned" and the rear radius of the bolt changed to allow smoother cycling and increased reliability with subsonic ammo.
Que is an incredibly nice guy and very professional when it comes to his services. He gets them done in a timely fashion and keeps you informed as to the progress. His prices are very reasonable as well.
Ques barrel rework
Ques bolt service
I would also get the trigger worked on. If you are dead set on keeping your rifle completely stock, I'd send your trigger to Brimstone gunsmithing. He offers different levels of service and I've only heard very positive reviews of his work. If you don't mind changing the trigger itself to an aftermarket, I'd get a KIDD trigger job kit. Short of a complete aftermarket assembly, this is probably the route I'd go. Install is very easy and the trigger is amazing..well worth the $$
Brimstone Gunsmithing
KIDD trigger job kit
Do these three upgrades and you will have a accurate and reliable 10/22 that will look like a stock rifle...