I had a similar experience for a few days. I initially tried doing some light stretching and push-ups to wear myself down a bit before sleep. Of course, it worked for me without causing any hypo's but it may not remain true in your case.
In addition, do you remember being in any form physical discomfort when you wake up? Try checking your BS immediately after you wake up. One night, as soon as I woke up, I checked my BS, which was 5.2. Thence, I was psychologically releived and have had no such problems.