So, that article could provide every info you need on integration. We fully understand your situation, but miniBB is just free software, not service. We don't have any idea what Moodle is and how to turn it on. We need to study it and spend our time on it (and time is not really cheap). Our "team" is just 2 people. We can not do everything for everyone for free.
If we would do something like this, our life would become instant free support of thousands free customers. No time to eat, and no time to sleep :) Only doing customizings for free.