As it stands now, since the mother of the puppy has rejected her, the puppy's chances of survival are slim to none. She certainly doesn't need the added risk of having an inexperienced dog lay on her, step on her or accidently harm her in some other way.

The warm fuzzy stories of strange dogs raising orphan puppies are 99 percent just that; stories!

My suggestion would be to concentrate your efforts on the puppy and keep the other dogs well out of reach of the puppy. If it manages to survive the first two weeks, that would be soon enough to allow the other dogs to even get close enough to sniff it.

Good luck with the puppy; it's a challenging task you've taken on!