Back to first post, woudln't this be a good dream sign???? I don't see how it's a bad thing.

As for the bio-clock thing you can either look at the time before you go to bed and say to yourself it is about 'x' I will wake up around 'y'. Approximately 'z' hours.

Or you can set your alarm off and get up EXACTLY when it goes off everyday for 2 weeks, then you will have this ingrained in your sub-conscious to wake up at that time. However, just say that after you stop using the alarm, you don't wake up straight away or very soon after you will screw up the sub-conscious part which is making you wake up and you will cease to be awoken at this time. But doing it a few times every now and again won't matter.

But for you I think the first option is better since your alarm isn't waking you up. But if you want to do this I suggest, as other people have said, changing the tone of your alarm.