You really have to find a way to keep her from jumping on the bed. She is rehearsing a behavior you don't want; and she is getting your attention when you push her down…a win for her.
I can think of a couple ways to deal with this, but it will take fortitude from you I think I would crate her as far away from the bedroom as possible. Make sure she is safe, and let her scream. You could also use an xpen around your bed...or some seriously tough mosquito netting You *could tether her to something, but most likely she would chew thru it, and it could be really dangerous if she gets freaky and panicky.
She sounds so much like Ivy. I can tell you that for us what worked was setting up parameters so that she could feel like she was in control, and get rewarded for good behavior. The rules we created worked for us, and worked for her. What didn't work for her was getting in trouble all the time, and getting yelled at. It just made her push us more. I learned SO much about difficult dogs from her, that it lead me to an interest in working with difficult dogs.
The good news is at eight years old she has mellowed into one of our easiest going dogs She is sweet and cuddly, and rarely snarks at another dog anymore.
But, yes I could definitely use a support group for dealing with some of the other dogs