If you want a really good shooting .22LR at not too much money, it's hard to beat a used Rem 581. I've got one with a custom barrel that will beat lots of target rifles. That action has extremely fast lock time and strong pin impact. The trigger can be tuned to provide a 2 lb pull with little backlash. Mine has a barrel that's held in by High-Strength Locktite only, so no pins to deform the bore.
I had a take-off bull barrel on this one at first, but it wasn't a good shooter. The stainless barrel shown was a relatively new Lilja take-off from a gunsmith's benchrest rifle that he thought didn't shoot well, but was wrong. It was something else. He offered the barrel, set up for my 581 and tapered for about $150, so I jumped at it.
Yeah, mine's a bit modified, but my son has one box-stock that shoots quite well.
View attachment 842845