drill holes and use something catch the water underneath. Just make sure the holes are not big enough for feeders to escape. That is not my method though, but have seen it on here. I really dont mist my indoor cages so for me I use a dripper and have it drip in one spot and catch the water with a shallow tupperware container. Shallow enough if your cham fell in he would not drown. I am sure you will be getting other feedback on this. There are alot of creative people on here!!
I use metal wire shelving. (its cheap, and looks it, but hey, its cheap )
I set the cage on that, with a drain bin underneath.
In the pvc cage bottom, I drill holes in a drain pattern.
The water falls through the shelving into the bin.
You can see a pic of it here to give a better idea.