At our last conference, the doctor recommended "Tranquileyes" goggles ~ they are deep goggles so they don’t interfere with either your bulging eyes or your eyelashes, and you can even buy moisture pads to put inside them for extra help. If you aren’t interested in that, he suggested saran wrap held in place with petroleum jelly, and a sleep mask over that, since taping the eyes shut with ONLY tape can be risky. If the tape comes off in the night, it becomes a further hazard to the vulnerable cornea and, as you’ve found, if the tape is sufficiently sticky to stay on all night, it becomes a problem with your skin, using it night after night.