Have you considered a .243 (or 6.5 as mentioned)? Softer shooting, since you want your girl involved and flatter trajectories. I'm sure you'll be happy either way.
One thing to note, buying a .22lr to train with will save you money in the long run. Same fundamentals and it simulates a .308 in certain instances.
WTB cheap/used AK-Ultimak & MFER.