If you prefer a more traditional stock consider either a Boyd's Pro Varmint or a Victor Titan 10/22 stock. If you prefer more of a chassis type design I'd recommend the Oryx 10/22 Chassis. Ive been very happy with a Victor Titan Stock/18" ER Shaw barrel combo that I got from ER Shaw.
The other thing that can be challenging with 10/22 is trigger pull. Best recommendation is get a Kidd drop-in trigger, but that's pricey. The budget recommendation is getting a Kidd Trigger kit.
If you're planning on entering PRS-style comps you'll want to add an auto-Bolt-release - they're only $10 but are invaluable in comps - ask me how I know! LOL! Timed out on my first stage fiddling with the bolt.
The other recommendation is a good bipod - in my opinion, Harris is fine for rimfire.
You're going to want a good first-focal-plane scope or a good fixed focus scope. Honestly, unless you're planning on shooting Bench Rest comps, I would go with either an Athlon Talos 4-14x44 BTR FFP scope or maybe an SWFA 12X fixed power scope.
Either way, you'll want an EGW 40 MOA rail to get you that extra elevation for longer range shooting. Remember, 200yds with 22lr is like 800yds with 308.
Best wishes! Let us know if you have any other questions.