If you don't mind levers, check out a Henry H001 Classic. They can be single loaded if need be, they're light, reliable, slicker than snot cycling, and have a very good trigger.
The iron sights aren't bad, though it may shoot high at 25 yds. Mine did.
The front sight is easily replaced with a fibre optic HiViz unit, the original isn't great but it does work.
They were on sale recently at Bass Pro and Cabela's for $379 CDN.
I'd suggest buying one for yourself and encourage her to use it until she grows a little bit more. If she turns into an accuracy addict look for a CZ or Tikka then.
The Savage Rascals aren't bad little rifles, but she'll outgrow it fairly quickly I think. Maybe get a used one and sell it on if that happens.