PM me if you would like a copy of the book in PDF format (on the understanding that you will not further distribute it).
The process is somewhat long-winded, but not beyond the realms of the amateur. The usual question is what value you put on your own time: unless it is very little, you're better off paying a professional to do it, rather than spending a long time researching how to do it yourself, for a one-off application.
It's much easier, these days (the book was written some time ago) if you use a 3D model in a program like SketchUp, which can generate accurate, geographically located sun path and shadows based upon it.
As you say, it won't be a validation requirement for a householder (or, indeed any) planning application, but in lieu of one, they'll apply the basic '45 degree rule'. A sunlight analysis, on the other hand, can very frequently prove that the design is acceptable even where it fails the 45 degree rule.