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So sorry your local options are so slim. I have looked as well, and most of the online high school options top out at Calc BC, AP Stats, and maybe a lower level discrete math course. You might try MIT OpenLearning. MIT posts some full courses on MITx (https://openlearning.mit.edu/ search MITx courses, self-paced, mathematics) for a small fee, including multivariate and diff eq. If the school is willing to accept it as high school credit, it would at least keep her going with interesting and challenging math, even though the credential is a certificate and not college credit. MITx comes with assessments. The same material (video teaching, assignments, etc.) is available free on OpenCourseWare, but without the credentialed assessments. A 5 on the BC test would place her into 18.02.