This is a very interesting topic to me. I am generally a proponent of skipping when a child is advanced across the board (not just math or just reading/LA). I think the K-12 system was developed as a framework by bureaucrats because they had to have something to work with in starting public education. But each child is unique and some might only need 9 or 10 years of education before moving on to college. It should not be seen as a "set in stone" system--just my philosophy.
That said, there is literature about specific acceleration recommendations based on IQ and/or SAT scores, and Ghost's very high scores suggest he could do multiple grade skips or even early enrollment. I agree with Dottie that the kid has to buy into it. For instance, my kids have each skipped one grade and I think that was great--they related better to kids just one year older and didn't stand out too much being smaller & less developed (important in the middle school years). But my kids all say they don't want to skip again, even if they are working at more advanced levels. I think they don't want to be pariahs.
Another consideration is that middle school is such an important time for physical, emotional, and educational development, that fortunately my kids skipped early and will go through middle school years normally. For me, middle school was probably more important than high school in developing my interests and passion for learning, gaining self-confidence, etc.
If Ghost is getting into a groove socially, perhaps consolidating high school would be a better strategy. Here, there are plans for finishing HS in 3 yrs vs. 4. You and he will need to judge whether middle school or HS would be the best time to "condense", but clearly he's able to move ahead...now it's just other factors to think about. I would suggest, based on what you said, to move your daughter ahead earlier, so the middle/high school years will be intact.
One other note is that my oldest son plays soccer with his buddies from high school. He has always been used to being the smartest, best at everything, so even though he's very good, his size/development disadvantage make soccer a challenge for him and something he is not the best at. I think it's good for him.
Good Luck & let us know what you decide--I'm so interested to hear how others solve these difficult decisions.
Cym