I don't really have any suggestions for you..seems like just another bully thing. They are always doing things a little different than most dogs..
I'm not sure that Stouffer drinks his water like this, but he is VERY loud in the water bowl. I like to say he is "washing his mouth out" because there is always food and slobber floating in the bowl when he is done
As for the nose rope..it happens. I just try to keep it as clean and dry as possible, but it seems every now and then it gets a little tender.