For us (ds5), it looks like three times a week, maybe an hour a day. And that is just math and handwriting. Everything else he just absorbs through tons of reading- which if you count reading time, would up it to 3-4 hours a day. It is not what I had envisioned our schedule looking like...but for now it is what works.
If you plan to work through the summer, you don't need to worry so much about fitting all the interests in.

Personally, at this age I think I'd make history just a matter of fun readings...but not a specific study.

One way to look at it is that you really have all the time in the world--if she is years ahead, why not take detours, put math and other basics on hold while you do a history excursion, or whatever you don't have time for. Not going years ahead in math won't hurt. I can't see that more than three hours of essentially one on one time is needed for hg+ kids, especially at six.

But take this all with a grain of salt, as I'm really still struggling to find out how to do this too!!

Good luck!