I wouldn't limp K8dd from HJ.
Anyway. Can't fold IMO. Even if the guy shuts down on diamond rivers...if he's that nitty you can bluff shove quite a few rivers, like Queens, Tens, Jacks. And just make a small bet on diamonds if he's folding to shoves.
Shoving to get a guy off a set though is pretty risky. He'd have to be a nit's nit. Maybe if you stare at him menacingly while saying "I *know* you have 44" and then stand up, shout "all in baby!" and push your chip stack messily forward while grinning like a psychopath. Yeah, that'll do it. Though..hmm... that might actually make him more likely to call. Yeah, tells are not really my strong suit. :/
Seriously though I do think this line is weird for a set on a board with a two-flush. Unless he has the 1 combo of KK. But the pot was limped...there's lots of crap he could have. There's 6 combos AK, 6 combos A8, 4 combos K8, 9 combos A4, 6 combos K4. There's combo draws he could be getting frisky with OTT like 6
5
, 7
6
, 7
5
, 5
3
, 3
2
, J
T
, Q
T
, or Q
J
.
Yeah there's 3 combos 44, 1 combo 88, 1 combo KK. But there's so much more 2 pair and combo draws and your equity is decent even against a set. Depends on your read of villain, how does he play strong draws? Does he raise with two pair when the board gets scary (as it does on the turn, as there are now multiple gutshots + diamonds)? Also it's 1/3 so you can't rule out villain spazzing out with like AT here. Personally I'm shoving if villain is capable of folding 44, or if he can have all those two pair + combo draws in his range AND might call. If he's a bit stationy but not calling with two pair then flat call and ship diamond rivers.