N.W.
We bought our 7-year old the Disney Pix Click digital camera and we got a sale so it was about $30.
http://www.amazon.com/Digital-626-Disney-Princess-Camera/...
She loves it, I think it's a good first camera. So far she's dropped it a few times (the reason we didn't spend money on a better camera) and it hasn't broken. The picture quality is OK. The picture window is pretty tiny but the quality is good for messing around with their cute software. As far as making good prints, if the lighting is good and she doesn't move the camera around you can make decent prints.
Like you, we struggled with finding something OK quality but without spending a lot since she tends to be careless with her things. We found we were the only ones who cared about the picture quality, she's content to load her pictures onto the computer and play with them.
(BTW there IS a flash on it)
We are planning on giving her our old digital camera when she gets more responsible for her things. Until then, this camera works fine for her!