Savage youth Axis in 7mm-08, coupled with Hornady Lite 120gr SST. My best friend bought his son that package this year, and brought it over to sight in the other day. I shot it and it's a really nice gun for the money.
The Lite 7mm-08 says 2675fps on the box with a 24" barrel, but my chrony said 2825fps from the Axis, which has a shorter barrel. The chrony was spot on with the ammo we shot that I use to be sure it's calibrated. I'm wondering if full power loads were mis-packaged, because it should have be about 2600fps.
The ammo was within 5fps of each other on the rounds fired through the chrony.
It's going to be real hard to beat that gun, and the 120SST will be devastating on deer out to 400 yards.
Another option if she's into ARs, is the 6.8 spec II. The friend's kid, same one, took his first deer last year with my ARP 16" with a Mepro M21 reflex sight, 200 yards measured ( 190 something ), using a 110gr AB at 2650fps.
The 6.8 in spec II with spec II / tac ammo is a 400 yards deer gun as well. There are 4 more new ammo choices coming on the market now, and already a bunch out there.
It's already way cheaper than the 7mm-08. You can get a box of hunting ammo for around $15, lots of choices at $20, really super premium stuff around $25. The ammo my buddy bought for his kid's gun was about $25.