I just want a good night's sleep!

I haven't slept well in weeks. First I had insomnia. Then I was having nightmares. And now I pretty much have to sleep on the couch because the cat won't stop banging at the doors at night unless someone is in the living-room. We tried shutting all the cats in one of the bedrooms at night. It did work for a day or two, but then the female cat started digging holes in the carpet under the door and she was still banging the door. I hate sleeping on the couch all the time. It's not comfortable. I don't get enough sleep and I wake up with a stiff neck or back, or sore hips and knees. I just want to sleep in my bed and for more than 4 hours without the damn cat banging at the doors. I've considered putting her in the pet carrier at night but honestly I don't think that's going to stop her from making all that racket either. If she was my cat, I'd be searching for a new home for her. Unfortunately she belongs to CJ and I can't very well give away CJ's cat while she's in Iraq...no matter how many times I think of it and come up with a good story to tell her. It would break her heart and I can't do that. I can't think of another solution.