[tewall]

No. Figure out what their likely calling range is. If they understood the theory, they'd only call you with a couple of hands. But they don't, so you can't act on the basis of what would be a good play if they understood but on the basis of reality. What will they actually call with? Then figure out what's a good push based on that.

By why push at all? The reason for pushing rather than making a smaller raise is that better players will just come over the top of you, plus you'll lose fold equity. But these aren't better players. If you can rob the blinds with small raises, why risk so much? Save your big raises for when you have a real hand. Let them call your big raises when you're the favorite, and fold to small raises when you're not.