Oh I knows the feeling with those attention hungry breeds. And don't get me wrong my dogs lay right next to me when my snake is out but I've trained them to not get all in her business.
Your snake really won't be bothered my the dog unless they are like my 2 and want to play and be friends with everything that moves. But apparently your dog doesn't have that problem. But gotta love that mix. I can only imagine how cute your dog is!