I would frequently check this board with AK / AJ / A10 and as a consequence I would probably check this behind a lot.
Bear in mind that if the villain is competent then he shouldn't really be checkraising this flop and then folding an awful lot as it isn't a spot where people should do something aggressive with a pair or better and then give up given the shallowness of the stacks.
I'm not sure this is the best strat. In fact I'm still not 100% sure of the best strat really.
Because it appears to be a situation where villain shouldn't be checkraising and folding a lot the power behind the checkraise is only increased. So if Villain is indeed competent he will know that for 3.8k he can put in a powerful checkraise move with atc knowing that it looks like he wont be folding. This is a pretty strong move, and should be a pot winner. In fact the man himself says.....
i was gona check/raise most flops
So the check behind on the flop only really works if Villain has hit a perfect flop.
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