M.B.
Some children are more sensory than others.... she may have a sensory need to chew on things. This is why some children use a pacifier or thumb for self-soothing.
Why are you against a teething necklace or chew tube? That would be something you could easily clean, and it is made FOR chewing..... it would be safer for her to chew on the tube instead of the blanket or stuffed toy.