You have probably been told this before, so I am not going to yell at you.

If you had ANY sort of dryness prior to lasik surgery, you were not a candidate for the surgery and should not have had it. Lasik can cause severe dry eyes in some people. Did you tell your doctor about the dryness that you were experiencing prior to having the surgery?
Which p.m. ointments have you used? Some are better than others and won't run down your face as much. The thicker ones will stay in your eyes better and not leak out. The one I liked the best was Tears Naturale PM Lubricant Eye Ointment.
If you don't like any of those, the only other thing I can suggest is to use a warm compress when you wake up in the morning to clear away any crud from your eyelids. (is that why you can't open your eyes? Or are they just too dry to open?) Keep the bottle of tears where you can reach it and put a drop in the corner of each eye before you open them. The best thing really is to use one of the ointments at night though, because you don't want to get so dry that you scratch your cornea during the night. Taping your eyelids shut is not a bad idea, but if your problem isn't caused by your eyelids being open when you sleep, then it won't help. But that is one way to find out if that is the problem.
Good luck,
Elyse