If you'd like a quick and dirty attempt to understand how to measure high school success factors, I'd humbly suggest attempting to (1) take into account the size of the high school and (2) take into account the demographics of the area the high school serves (poverty index, etc.)

My guess - and it's only a guess - is that these are more important factors than any others by a wide margin. Of course, you'll find correlations with respect to these factors on things like clubs - because clubs spring up most often when there is population density and affluence.

I'd argue that school size, affluence, and the quality of coaching are your primary factors. But I'd be arguing from a position of ignorance - because I haven't run any numbers and it's just my opinion...