When I used one of those ultrasonic foggers I put it in a covered bowl on TOP of the enclosure. I made a lid for the container that protuded over the one side of the container which had a slight lip, leaving a slight gap between the lid and the lip.
That way the 'fog' would roll out under the lid and over the lip, and then down into the cage. So billowing 'clouds' of mist that would flow down into the cage.
That avoids the problem of having a bowl your cham can drown in.
However it does create other problems:
- You have to have something built above your enclosure to support the weight of the water bowl (this can be tricky with screen-top enclosures).
- The mist forms water droplets on the lid of the bowl and these drip down and splash into the enclosure, sometimes causing a bit of a mess (if you position it well though, you could use it as a 'dripper')