I voted yes, but because you asked "would you" instead of "should I." I still say it is something you could do, but the case is that you already live in a country in which you can earn a respectable MBA. In my case, and that of many people I know, it has been about leaving a small poor country to go to a developed nation to further one's education. If it weren't because you have a daughter here, it would be a much easier decision.
Is she old enough to get her involved in the decision (read: can she talk already)?
This seems to be the oportunity of a lifetime, but keep in mind that being heavily involed in the deleopment of a human being you love into a succesful adult is also the opportunity of a lifetime.
If you must do this overseas, I would suggest taht you budget enough money to come see your daughter every few months.
Also take into consideration how often you see her now. Do you live in different states? Opposite coasts? If you already don't see her very often, then maybe you can just be ready to swallow hefty phone bills, pay for a several cross-Atlantic flights, and trying hard to get that MBA finished in the minimum time.
Hard decision. we appreciate you here, and can give you our opinins, but you need to make sure you include your loved ones in this one.
How is your relationship with your kid's mother? Will she brainwash your kid against you while you're gone?
I am not asking that you answer any of these questions here, but rather that you ask these questions to yourself before you make your decision.
What about compromise? Will that business school accept credit transfrs? Maybe you can start here, and then just be away for 9 months to wrap things up. What about if you get an MBA from a university here in the US, but spend a semester abroad in that business school, which would allow you to have their name on your resume?
Best of luck with everything.