No offense but you really shouldn't worry about how you look. It's likely that you're going to be in tears anyways, and nobody is going to be worried about how your hair looks. Everyone is going to be there for the service anyways. Just wear your hair either up or down, nothing fancy.
If you are the cosmetologist for the deceased, I would recommend the french braid. If you are attending the funeral, I would also suggest the french braid. If you worry about your hair style at a funeral, you are obviously going to be negatively impacted by the other responses. Just be yourself. That's always good enough.