I grew up shooting a 10/22 and several years ago, wife bought me a 10/22 Take Down for Christmas.
When I was doing accuracy comparison with 20+ 22LR ammo at 25/50 yards, I found no matter how much I tightened the barrel ring, any pressure on the forearm affected groups at 50 yards.
So I bought a 10/22 Collector #3 with synthetic stock and free-floated the barrel to capture every 10 shot group out of the box and documented almost 3000 rounds to show effects of trigger break-in and rifling wear -
https://www.thehighroad.org/index.p...lector-3-break-in.859106/page-2#post-11351163
And after capturing smallest average 50 yard 10 shot group size of sub 1"; instead of accurizing the 10/22, I decided to buy Thompson Center T/CR22 that is already accurized in all aspect with last round bolt hold open magazine for less than the price of upgrade parts (I think $279?) -
https://www.thehighroad.org/index.p...50-yard-22lr-ammo-comparison-break-in.864241/
I have taken a break from shooting during pandemic (Mostly to help out my aging parents in another state) but my initial testing with T/CR22 produced smaller groups than 10/22 with broken-in trigger and free-floated barrel.
So take a look at T/CR22 as another option to start off with (It will take all standard 10/22 parts) as I am hoping for around 0.5" groups at 50 yards with more accurate ammo (I now have 25+ to choose from).
You can even buy Performance Center T/CR22 that produced .22" group at 50 yards out of the box (I know you want to "build" but how about starting out with a rifle that is already accurate?
) -
https://www.gunsandammo.com/editorial/performance-center-tcr22-review/365444
"Range Performance - The best five-shot group of the day at 50 yards came with Eley ammunition and measured .22 inch. The average five-shot group with that ammunition measured .38 inch. Such accuracy is unusual for any production rifle"