Really bad idea. Lets say for arguments sake it takes off, and a developer wants to pick it up for distribution. Whoops - you can't, you don't have rights to do so. And when they hear it's been done with bootlegged content, chances are they'll steer clear to avoid other potential legal potholes. So long for that payday...
I have to disagree with @maurice.patel on this one. It's quite clear in the terms of use that the EDU licenses are for learning, not for sharing. At the very least you should make abosolutely, crystal clear the contents are generated with EDU content. While there likely won't be serious legal action beyond a takedown notice, it's better to be on the side of angels.
Instead, work the numbers: how much it would take to create the game using commercial viable assets? How much could you reasonably charge? How long will you expect to generate money from it? From there you can get an idea of the kind of money you need up-front (just like any other developer, by the way). Get a small business loan for the amount, pay it off with the income from the game. There is nothing like pointing potential employers or developers shopping for new content to something you've built that is valid both commercially and intellectual property -wise.
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If you are going to fly by the seat of your pants, expect friction burns.
"I don't know" is the beginning of knowledge, not the end.