I would get bloodwork done at the vet. The appropriate thyroid panel is about $500. They can refer you to a dermatologist if the dog comes back with a clean bill of health. It's important to rule out the health stuff first.
If you find that she is healthy, keep in mind that some dogs do not do well without a job. My yellow Lab will give himself a lick granuloma on his foot if he's not kept busy. He also has a touch of anxiety, which is typical for a dog that exhibits this type of behavior. It's important to find a breeder that breeds dogs with the appropriate temperament for your lifestyle, but sometimes we get something that surprises us anyway!
If you find that her issues are not related to physical health, talk to a behaviorist, especially one that specializes in sporting dogs (I recommend Sarah Stremming at Cognitive Canine - here is her blog
which might have some advice). Play is great, but training is really what is needed for a dog with boredom/anxiety issues. You have to tire out her brain. Sometimes changing food helps, especially going from processed to raw. Adding large meaty raw bones and food puzzles may help. Be careful of repetitive exercises, like ball chasing, that can turn into OCD and make things worse.
Meanwhile, you also have to break the habit. It's sort of like nail chewing in humans. I'd try a cone for maintenance in addition to added training and vet tests. I had to put duct tape on my dog's lick granuloma and I've met people who have had to fashion a wrap out of chain mail when things got really out of hand with lick granulomas (they have to breathe when they get big and nasty).