Since you have semi autos already, maybe a bolt action so you can shoot less and hit more?
Possibly more accurate and better trigger out of the box if you get one with the trigger blade doohickeys that allow them to ship with 3-pound pulls.
The Ruger "American Rimfire" has a lot going for it. It accepts the 10/22 magazines you already have. Recessed muzzle crown. Trigger blade doohickey with super-light / crisp pull. Adjustable length of pull by buying additional "compact" stock butt piece (nice if you have kids who want to shoot it). Good sights. Free floated barrel. Two barrel length choices.
Savage and Marlin also offer good guns with great triggers for $200 or less in their bolt guns.