How long is your school program? Because if it's justa year or so, yuo can probably just scale way back. A year to a kid at that age isn't ..well, I don't want to say important, because ti is obviously, but it's just not...um..urgent? I'm not sure how to say it..but basucally, she won't die/fall behind/be a complete loser who never finishes school and lives in your basement forever, lol, if you don't push the academics hard for the next year or two. I think lots of self study type stuff is fine, but I also don't think you have to feel like you have to be doing something all the time. An hour a day or so is more than enough to educate her in, you know?
Are there local options for perhaps some scheduled activities she enjoys? Sports classes or teams? Art, music, dance, etc? Maybe duing the next year she develops her love of/talent for sculpting or horseback riding or swimming instead of doing "schoolwork".