would I have to do the groundschool via distance learning in he UK before I left for the US/SA
Oneday,
I don't know if you're getting confused but when most people speak about groundschool via distance learning, they're referring to the 14 exams for the frozen ATPL. For the JAA PPL, there are 7 written exams, but it's certainly possible to do all of these along with your 45hrs flight training in three weeks in the US/SA. The prices quoted for your PPL should include all groundschool books/tuition/etc. I'd suggest e-mailing a few schools to check exactly what they provide. (A lot also provide 0800 numbers as well).