In one of aejone's memoir chapters, he said that a good way to counter people who 3bet you light from the blinds when you have AQ is to call and shove all flops over their cbets. His reasoning is that AK + air won't be able to call your shove with just A high. Even if you're called with JJ, you still have 6 clean outs. However, this situation came up,
I isoraise 2 limpers with AQ otb to $24, bb 3bets me to $74
He's been 3betting me ftbs a few times too many in the last couple of orbits. This is also an isoraise. I've also been folding to his 3bets. I'm convinced that he's 3betting me light here. Sometimes, I'd 4bet/call but I don't think his range is super light that he'd be sticking it with hands that I dominate. So, I elect to call and shove all flops over his cbet.
flop comes 8

8

7

. Imo this is a good board to shove over his cbet because he probably sees it as dry, therefore a good board to fire on. However, much to my great chagrin, he CHECKS. I wasn't prepared for this and I still don't know what it means.
Should I bet/fold, or check and shove over a turn bet?