@ImportantNobody Drums in jazz are a thing. They're used sparingly but they're there.
Jazz drumming is one of the hardest genres to learn, so I've heard. I tried jazz guitar. Not easy. Can't bear to think of drumming.
She has good lungs but it seems like sax would be harder to learn, but judging by what you said, perhaps not. Still, in line with her personality, she'd want to be drums. Doesn't matter if she sucks at it, she'd still have some fun. I don't know who I have who would fit as the sax player.