I decided that I needed to start the hair again for a third time as it still didn't look very good. I decided to do some research into how others model hair instead of just trying to figure it out myself. I stumbled across this two part anime hair modelling tutorial which shows, what I think, is a really effective process.
After following this process I ended up with something that I am happy with, which you can see below. I then decided to play around with some texturing just to see how it looks.