Put me firmly in the ‘let it play out’ camp. It’s impossible for them to grasp how much they are going to change between now and next April, much less the April after that!
a couple of suggestions:
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Remind her that all she is doing by applying more widely is giving her future self more choices. At some point she will have offers and can choose whether she accepts them or not.
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Encourage her to investigate housing options at the various school: many schools have singles even for first years; even more have suites (where you have your own bedroom & sometimes own bathroom, but share a kitchen/living area), or themed housing options.