Africa? No. Africa doesn't have a good track record at adopting advances in technology or culture.
Peru and other South American countries? I think that it is quite possible, but I think that a dose of pessimism is warranted.
There are three technologically and socially advanced countries that have high levels of inflation. They are: The US, the UK, and Japan. So these are the three countries where I expect Bitcoin to flourish.
I agree, although I would love to be the one who brings Bitcoin to Africa, I think it is far more likely to take off in Central America. I traveled to Guatemala and noticed that even the mountain coffee farmers knew how to use phones and purcahse reloads - culturally, central america is better than most places in Africa.
In terms of economics, it can help both areas, many central american countries and african countries have horrible inflation rates. If you consider north africa the past few years after the Arab spring, most people lost their valued assets. Even egypt has something along the lines of ~11-15% real inflation.