If I was buying a bolt action 22lr for the type of precision shooting I like, I would look hard at these. These are all mag fed with somewhat widely available 10rd mags and accessories.
Bergara B-14R
CZ 457 Varmint Precision Trainer
CZ 457 ProVarmint
Bergara BMR
Tikka T1x
There are other things out there like Vudoo and RimX, but thats another level. Cool thing about the B-14R is that it's full size Rem700 with AICS mag compatible. Most all Rem700 stocks, triggers, and accessories will work. I have the Tikka and have really enjoyed it. The bottom 3 of that list are more budget friendly than the top two. The top two seem to be chosen more by the top competitors, except those with the likes of Vudoo and RimX.
There are probably other really nice high end precision Bench Rest focused and hunting rifles out there, but I don't have experience with those like the Anschutz, Cooper, Kimber, etc.
The Ruger RPR and the Savage would also be options, but I've not seen them be as solidat the NRL matches. Seem to have more feed issues than the others, and accuracy seems to be more hit or miss on them. Also don't see the serious folks shooting those, so might partially be experience and need for some fine tuning.