I disagree with the foster carerer, I'm afraid. Most dogs need to be trained to like the crate, they need to learn it's a nice place to be, it's not automatic. This is a young puppy at a very vulnerable time in it's life and if it is already in rescue then it can't have had a very good start in life and has had several homes already.
I would opt not to shut in the crate for now or have the crate in your room. Give the puppy a hot water bottle with a soft cover, an old t shirt or something that smells of you and leave the radio on, talking/general noise is better than music IMO.
You need to teach the puppy to be shut int he crate, for very short periods at first. Do feed him in there, leave treats in there for him to find, only give him his kong when he is in there etc. If you have Jean Donaldson's book, the culture clash, there's a good section on crate training in there.
I think you'll also need to accept that he may still need to toilet at night for some time, but I would work by setting an alarm to let him out, don't ever let him out when he is barking. Obviously initially you need to do all you can to avoid barking/crying in the crate.