I said send her packing
Not that I think it's an easy answer. Rogue may not have anywhere else to go, and clearly she's become close with others at the Mansion and part of the family.
But let's face it: it's a school/safe haven for mutant kids. Rogue is no longer a mutant. There's nothing there for her to learn there, and, to be brutally honest, she's taking up resources meant for other mutant kids that might come along.
Besides, with the potential social stigma from her peers, she might not really wanna stick around....
Not that they should toss her out on the street, but maybe start pointing her in a different direction of what to do with her life....take some community college courses, start looking for a job, etc - she's got to be about 18 or 19 at least now, right?