Since you are getting or will get scholarship, by all means go for PhD straight away.

Sorry I did not reply earlier. Yes, by all means if you have the chance, do it overseas in the best universities. In UK, look for 'Russell Group' universities. They are the top uni's in the UK who received the bulk of grants for research. So you are likely to get the best researchers and academics there. Furthermore, living overseas is an experience in itself. It will open up your mind and world view.

Actually most universities refer to 'business' PhD as 'DBA', Doctorate in Business Administration. There are key differences to traditional PhD and DBA though, mainly in the research methodology. PhD is more rigorous and if you are thinking of academia then PhD is still the ideal route to take. If you want to continue in business and industry then DBA is a good choice.