I see what you are saying. First, be careful with “over seeing” what your GC’s are doing….Get familiar with Fed and your states labor laws with regard to subs (assuming your GC’s are subs). If you really want control I’d suggest, along with learning construction, to start building your own company as I have. Mine is a LLC with commercial and liability insurance. Hire in GC as employees on a salary exempt or, get a license and become one since much of what your need to know are codes. From there hire production and project managers as employees and let them manage other employees and subs, while you focus on managing the company’s and REI. I’m looking at getting my RE license and launching another separate REI-LLC to keep assets separate and protected. The construction company and REI company work well together and you can build a huge empire with passive income.
I guess it depends on your mechanical and electrical aptitude, some pick it up with little instructions, others need more help. The broad array of knowledge you are referring to I doubt will come out of a management course, building an enterprise like I described above might. You’ll learn though as you grow you won’t be able to keep up with it all (finance, REI, engineering, hvac, plumbing, electrical, investments, corporate structure, etc)… you’ll need surface knowledge of it all. Anyway, there is no speed course to learning all that is need to understanding in depth general construction, it takes time be patient, not only from text books but hands on experience. Other than that, if you want I’d suggest getting into a trade school for electrical, plumbing, HVAC, framing, but again I think for a person in your position it is unnecessary unless that is something you’d enjoy other than upper management and being a corporate officer/desk job.