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Akula has some very good suggestions. Instead of a regular plastic bag though, I like to use banana bunch solar covers pictured with the solar (silver side) facing the sun. I have been using solar bags for several years now to protect the bunches from cold and weather damage as well as damage caused by birds or rats with great success.
These bunch cover bags are like sleeves, open on both ends, so they can be pulled over a developing fruit bunch and tied to the peduncle.
They measure about 47" by 28", one side (silver) is the solar side which is supposed to face the sun, while the other side is green or blue plastic similar to a heavy duty trash bag. Those definitely help to speed up the process of filling in and ripening.