Getting a single setup that meets all of those goals and performs well in each will be virtually impossible.
The closest I can think of is an ultra light tele setup. Garmont Excursions, Fisher S-bounds (or similar with scales), and 3 pin bindings. But that's oriented more towards cross country and light bc with a little descent thrown in.
However, if she wishes to use it at a resort both she and the people she's skiing with will need to be very patient. The learning curve will be slow and brutal for making tele turns and the set up will probably not do well for parallell turns.
Even light AT setups aren't that great for actual cross-country application (and a split board is about the worst option for cross country skiing).
edit:
DII = Fritchi Diamir II (a few years old AT binding imported by Black Diamond, replaced by the Diamir III).
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