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Assuming of course that you are ahead (he's got a big king), you get 3.5 BBs in from the flop on by 3-betting.
If you go for the cr and it works, you get 4 BBs.
If you go for the cr and he checks the turn, you get 2 BBs.
So from that perspective, you have to be at least 75% sure he'll bet the turn for the cr route to be +EV.

On the flip side, he has you beat or outdraws you. It costs you 4 or 4.5 BBs flop on in the first case, and 5 BBs if he reraises the turn on your cr.

Ok, so I haven't considered the times he'll fold, but I think those are pretty strategy neutral.

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There are also some savings that you get from the times that a King turns by call/cr'ing, too.

Rob