sometimes to achieve your dream you have to get up and keep fighting again. I would go for ADN.. it will prove to the other universities that she can do it now and it will get her in. They make around the same as someone as a BSN and they have accelerated options so she might not have to wait 4 years to do it all.
Its just a question of how bad she really wants to do this. I know she probably does so you gotta have the guts to go a different route sometimes.
or... keep applying to more and more schools