The butt pushing is just fine, and you're right not to worry about an udder. She'll fill at foaling I'm sure. With what you're explaining, I think she's on the downward road, and baby should come sooner rather than much later. You've kept good track of her, and we're excited to hear how she continues to progress.
The butt pushing is to move baby into a more comfortable position, so that's good. Some rolling will get that little one in final position, so we're following along with you, and praying for the very best outcome!.
Pictures would be great!