You have two choices - get the dog with someone else - get real with the situation you have got.

The dog has no right to make any sound when the baby is around. I would keep a lead on the dog at all times, keep a water pistol on me in the house and have several cans with coins or beans in them around me.

No sound made by the dog around the baby should be tolerated or acknowledged by use of your voice. This is vital. You do not look at or talk to the dog. As soon as a noise, no matter what it is, is heard from the dog when you or anyone else is dealing with the baby, you must spray or throw your noisy tin in the general direction of dog.
Do this every time and dog will accept, be inconsistent and dog will get worse.
If you are unable to be consistent, and I understand that it is difficult, then the dog has to go.

This is a disaster waiting to happen, really.