Personally, I'd give up. You really want him to learn to wake up of his own accord - if you keep "lifting" him, when do you stop? How do you know that he's ready or that he's learnt to wake himself?
Have you ever tried longer than a week or do you give up and go back to nappies (and I don't blame you!!) Just wondering if it would click if you left it longer. I was on the verge of giving up day potty training with DS2 after 2 weeks with little success and it clicked on what I'd decided would be his last day.
It could easily be that he's not ready - the body has to be producing enough of some hormone or other that stops the bladder filling up so much at night. If he's not producing enough of it yet, he won't be able to manage being dry at night unless he's excellent at waking up when he needs to go. As I understand it, lots of children are still unreliable at night when they're 7.