I have a 10/22 and a CZ Scout, both in your price range.
The 10/22 had a terrible trigger (most do), but that was easily fixed with a Volquartsen hammer. It will shoot under an inch at 50 yards with quality ammo, and a half inch with CCI SV or Mini Mag solids.
The CZ Scout is just as accurate, maybe more. It doesn't seem as finicky about ammo.
I shoot the CZ more often, it's just a great little gun. I took the scope off of it and just shoot it iron sights now. I dunno why, I just get a kick out of that little gun. It comes with a single shot adapter, but also takes 5 or 10 round mags.
If you want a dedicated scope gun, get the CZ American.
If you like open sights, take a look at the CZ Trainer, fantastic tangent sights, great stock design.
The Lux is the walnut stocked version of the Trainer, I have one in .22WMR, great gun.
I still shoot the 10/22 occasionally, but my CZs get a lot more range time.