I think your puppy is spending much time in the crate - for what I understand - If you are home with the puppy, don't put her on the crate, play with her, keep a close eye on her, and take her out often, even if she doesn't go she can start getting familiar with it, and is also better to go out a lot than clean up a lot of messes in the house.
I think your dog needs to be around the house, otherwise how will she get familiar with the door to go outside? accidents are going to happen when she is learning no matter what, but you have to be consistent and patient. Our puppy took a while to learn to ask to go outside; once I sort of learned his routine I would hold him from the sides and help him walk to the door
may sound silly, but it worked he now goes to the door all by him self.