Some rings you might consider are...Talley Lightweight one piece rings. You'll want "Low" for your application. You can get them right from Talley.

Pic rail and rings are nice for special apps, but often hard to get the scope low enough to the bore to be comfortable on the stock...esp for your daughter. I have pic rail set ups on every rifle I own, but I use higher power scopes with larger objective lenses.

I know it's a tough nut to crack for a lot of people...but I'm going to give you a piece of advice. Your scope should cost more than your rifle. Zeiss Conquest V4, or better yet, V6...3-18X50 is as good as it gets for what you want, or will ever need.