Well done on the admits. Long story short - I suggest you reach out to the alum's of Fuqua and Oxford in Indonesia and try to understand how they charted their path from the MBA into MBBs. There is always a possibility that MBBs hire for domestic / regional markets and not internationally. If so, then your choices can be impacted as you may have to apply to MBBs within Indonesia.
Since you said you need to go back to Indonesia for 3 years and then consider an opportunity abroad, consider which country at that time would you want to shift to - USA or UK/Europe. Though both schools are reputed, the recognition will always be higher for Fuqua in USA and Oxford in the UK.
If your destination post 3 years is the UK/Europe, then worth also noting that unless your Indonesian passport allows visa-free or visa-on-arrival in UK/Europe, a consulting firm may not even entertain you (because organizing Schengen visa, etc. is a hassle). As compared, almost entire consulting-related travel in USA is domestic and hence such visa issues are avoided. I speak from personal experience - till I was on Indian passport in the UK, not a single consulting firm entertained me. The day I took UK citizenship, the entire scenario changed and I landed in consulting almost instantaneously.
Best wishes.