If you are thinking of
Missouri University High School (University of Missouri High School), you have found an excellent programs. I regularly hear good things and not-so-good things about many of the schools listed here. I have never heard anything derogatory about MUH.
However, and this is important, this program is not for everyone. There are students who could be successful in the more commercial programs who would crash-and-burn in a program like this one.
However, it sounds like you have thought this through very carefully. I have written elsewhere that I like the university-based programs a great deal. One of the reasons is that it appears college admissions folks look upon them favorably.
No guarantees, of course, but I would say you have made a good choice.
Tom Nixon