My foster puppy was a loud one. He's finally quieting down overnight (but he goes home tonight!)
I originally had his crate situated in the laundry room - a big crate, roomy enough for Boo. It started to get in the way, so we moved it to the kitchen and his crying hushed up a lot. Being able to see Boo overnight and not being stuck in a corner seemed to help. Is Mia able to see the other dogs while she's in her crate?
Second, I would give my foster a kong every night with his kibble on the inside and a milk bone w/ peanut butter to close it up. Gave him something to do for at least the first 10 minutes or so, until we could escape upstairs. Of course, the crying would start after he was done, but by then, the house was otherwise quiet, so he wasn't hearing us walking around.
Lastly, we've lately been giving him a bone to chew on each night. You'll have to decide whether to go with this one, because bones technically shouldn't be left with a dog while unsupervised, but my thought is that if it's large enough and thick enough (these are natural bones big enough for a shepherd or retriever sized dog to safely chew), he isn't going to be able to splinter it with his little puppy teeth. These shut him up longer, because he never really "finishes" the bone.
Also, I often feed him in his crate and he now will go in there to sleep if the door is open. I think it's turning into a love-hate relationship... he gets his favorite things while in there, but also his least favorite thing, being away from us.
Good luck!