I don't think there's an easy way to do that right now. If the children have specific ID's you can create a style on the tileset that sets a certain color (or opacity 0) to those tiles with that ID.
Another way might be to create them as multiple tilesets instead of one tileset, that way you can selectivity hide and show each one. Would that work for you?
One more way I can think of, that's a bit more of a hack, is if you know what kind of content is in your tileset, you could reach into it and do what you need manually. This GitHub issue links to a Sandcastle that clamps individual tiles to the ground:
You can see how it grabs the associated model in each tile. So you could perhaps set a show property directly on that.