How do I clean my Caltoy stuffed animal?!?!?

I have a caltoy stuffed animal giraffe from about four years ago and she used to be yellow but now its so dirty its disgusting. The tags wore off about a year ago and i have no idea how to clean her without using the washing machine! I'm really scared becuase her neck is really fragile becuase it lost some stuffing. Inside of her she has stuffing/some beads, and her fur is yellow/orange. Does anyone know a safe way to get all the dirt off? Thanks so so so so much!!