I'd have her use the Hornady Custom Lite in .243 for plinking AND hunting.
An 87gr bullet at 2800fps is in classic 250-3000 territory - a very light recoiling cartridge that has proved its worth against deer for many, many years!
I shot this very load this weekend in a full size M700, .243 and the recoil to me was like a .223. Others have posted it kills well.