I would start by giving her dishes she can't get her nose under. They are hard to describe, so I am giving you a link to a picture. See
http://www.petsmart.com/global/produ...1078323611448À. I have found them at Big Lots too. Dogs can't get their nose or paw under them to turn them over. They can't get ahold of them with their mouth, and pick them up either. They greatly reduce, but do not eliminate spilling the water dish. Some dogs will dig in the water dish. We have 3 of the larger ones we use as food dishes for our 2 dogs and a water dish, plus a smaller one we keep in the car for away from home use.
I am concerned about the bleeding. Perhaps you could reduce the problem if you give her a firm ''Bad dog!'' when you see her nosing under something.