Is the crate right next to your bed or off in a corner? I've always had success with the crate right next to me.
Is she peeing every time you bring her out? I'd take away the water 2 hours before it's time to go to sleep and don't give anymore until morning. An 8 week old puppy really can't hold it for more than a couple hours when their bladders are full.
Other than that, it seems like you're doing all the right things. Things should gradually start getting better any day now. My recent puppy was like how you're describing the first couple nights and now basically sleeps through the night without a peep. I did basically everything you're describing, so I'd start to expect better results now for you soon.