How do you do with guided meditations? Things like body scans? Might sound cheesy...but if you can plug yourself into one of those before and/or right after waking up you might be able to start changing the direction of your brain.
I have the same problem. When I'm not highly symptomatic and it's not causing me distress, it doesn't bother me so much. It's just annoying that I can't keep my thoughts in one place for longer than half a second. But when the **** hits the fan (I have panic disorder and other anxiety disorders), it amps it up a hundredfold and I literally feel like I'm being electrocuted. I can't think of another way to describe it. The mental activity and the adrenalin being produced in my body are a wicked combo.
Another thing you could try is writing. Just write down all the stuff that comes into your head. Or practice mindfulness. When you notice your thoughts starting to race, pick an object in the room and study it, and notice all the different things you can about it. Or touch something, and notice how it feels. Stuff like that. Stuff that brings you back into your body and out of your mind, into the here and now. Exercise is good for that too, especially moderate to vigorous exercise.
Good luck. I know it sucks. I hope that things get better for you.