Re: 10/22 Build help
I agree with what Doc has said. First should be a new barrel and stock combo as the barrel is where the greatest gain in accuracy will be found (or at least in my experience). I bought a TacSol 16" barrel and am able to get sub-moa performance out to 100yds with Wolf MT and SK standard plus. I dropped that barrel into a B&C Target/Varmint stock and it is amazing. It should also be noted I had to play with pressure pads between the stock and barrel.
I used that for a month or two before I got fed up and got a new trigger group (Hornet Custom). It's a good trigger with a crisp break and light pull which has definitely helped my shooting. For the price (<100 bucks) I don't think it can be beat, but I'm sure the Kidd triggers feel better. The only thing I don't like is it is in a plastic/polymer housing rather than metal. I've shot roughly 2k rounds with it with no failures or trouble whatsoever.
Glass wise I initially put a (relatively) cheaper 4x24 Hensoldt and that worked for a while. It was/is incredibly clear and really does impress me with how much detail I can see with it. However as Doc said, it doesn't have the features I want (variable mag, illum, better reticle, etc.) so I bought a PST 4-16x50 FFP and put it on a 20 MOA rail. I can not say enough good things about this scope. It's pricey considering but excellent for my uses (target shooting with the occasional anti-squirrel campaign).
All in all I spent about 500 dollars on the stock, barrel, and trigger and 750 on the scope to give me a pretty accurate semi-auto 22. The only things I would change is to get the best scope possible right off and also spend the extra cash for a threaded barrel as I now have the supressor itch.