I mist my cages and also add an extra squirt of water to my gecko's food (babyfood/CGD). That way, there is water available during the day and if they're thirsty at night, there's also quite a bit of liquid left in the food dish. I would recommend making water available at all times of the day, be it a waterdish or through misting. Quite a few people mist only once a day, but it won't hurt to mist more, especially if your cage is completely screen. Its going to depend on how much ventiliation; whether or not the droplets dry faster than she can drink them.
I've also heard of people using small waterfalls. This keeps the cage humidified and also provides a place for geckos to drink. I've heard some stories where geckos can climb inside, tho, so use discretion.
Sam
p.s. You must have a pretty hard life for changing waterbowls to put you out. I, personally, can think of many things worse than changing waterbowls (ie. cleaning large snake cages or even cleaning rat cages).