I know it doesn't fit your requirements at all, but my daughter (now almost 4) was given a disney princess energiser light. its an AA type light with a side slide button with momentary on. I ditched the incan globe, and put in a 4D magled module. It runs at maybe 20 - 30 lumens for a hell of a long time. Direct drive, probably goes down to 4 or 5 lumens after a couple of days always on.
Bit of fine sandpaper on the plastic lens, and its a good diffuse beam she can't hurt herself with.
You can even put two 14500's in there and make it about 180L but that is just a bit reckless hehe.
Anyways, she loves the light, and always uses it to "read" at night, and to check on the dogs when we are at grandpa's place