Apple - iPad case for toddlers that hides the home button?

Can you put the iPad in the case upside-down?

I don't mean with the screen facing in the other direction, but with the device rotated 180 degrees. on the plane of the screen.

This should make the home button inaccessible, though it may also obscure the volume, rotation lock, and power buttons (which may be desirable as well).

While I didn't find a case that solves this, I did see some stiff adhesive covers called "BubCaps" designed for exactly this problem. They claim that the material is too stiff for a toddler to activate, but just pliable enough that an adult can activate the button with some force.

I'm tempted to pair the BubCaps with a very grippable silicone case.

Edit: What the heck...I've ordered myself some BubCaps and a case to try out. I plan to leave the bounty open for other ideas in the meantime, though.

We've made a case that serves this purpose at AddyCase:

Let us know what you think!