Yes, I have it down to an artform. Run your lyrics sheet through a fax machine that prints on thermal paper. Although it will fade in sunlight, it will last for months taped to your shower/bath wall. Trust me, I still have layers of wrinkled but still legible lyrics sheets going back to Christmas carols in December. Although it gets moist, the printing will not dissolve like regular ink. I usually sing whatever I'm currently learning, and anything else that feels good.
Alice