I've got a Remington 597 (.22 semi auto) rifle that will not fire about half the time.
It may shoot twice, then 'click'. SOMETIMES if I manually feed another load in, it'll fire.
It ain't the ammo - when it does this, the firing pin isn't even hitting the ammo.
SO - you think i'd be cheaper/quicker to send to Remington (it's out of warranty, i've had it for 10 years), or take it to a gunsmith (I don't know anyone local, but could find someone).