We are getting it in here almost always. Really hard to put him on K2, but even if he does, it's rare enough that we are MORE THAN 70% against his range:
PokerCruncher-Advanced-iPad V.8.2.1
(Equity, Win, Tie)
Player 1: 28.6% 28.6% 0% {KK, 22, AKs, KQs, K3s-K2s, AKo, KQo}
Player 2: 71.4% 71.4% 0% [3c3d]
Board: [Kc 3h 2d Kd ?]
Deal To: River
And if we add even more kings to his range, we are better. If we reduce his range to AK, KK, 22, K3s and K2s we are still 65%:
PokerCruncher-Advanced-iPad V.8.2.1
(Equity, Win, Tie)
Player 1: 35.2% 35.2% 0% {KK, 22, AKs, K3s-K2s, AKo}
Player 2: 64.8% 64.8% 0% [3c3d]
Board: [Kc 3h 2d Kd ?]
Deal To: River
Of course, KK may flat flop or if flop raised check turn to induce, if we remove KK that brings us back to 70%.
That said you're 200 blinds deep. The flop raise does look strong, like set or two pair.
You didn't discuss player profiles and reads. There are players I'll stack off 300 blinds here happily. There are OTHER players I'll puke when the top card pairs and check call down hoping to get the cheapest showdown possible (that is, when I have more than 200 blinds).
I say this becuase most tight regs in LA will not raise that flop with less than two pair. As such, it is very read dependent.
The thing is a "tight reg" doesn't peel a PF raise with K2s. But a LAG definitely will. But even then, would a LAG raise that flop so much with only AK (TPTK is often played a bit more cautiously on the flop at least in the games I play in LA)?
Since you posted results (don't do that) it may be tainting my perception - but generally when deep, players don't look to build big pots with only TPTK. In LA live games, most players, LAGs included, wait for two pair + to start building a big pot on the flop when more than 200 blinds deep.
When less than 100 blinds deep, people are more likely to stack off with TPTK.
That said, even if the player only has 22, K2s, K3s we are an Almost exact coin flip on his range:
PokerCruncher-Advanced-iPad V.8.2.1
(Equity, Win, Tie)
Player 1: 50.3% 50.3% 0% {22, K3s-K2s}
Player 2: 49.7% 49.7% 0% [3c3d]
Board: [Kc 3h 2d Kd ?]
Deal To: River
Dead Cards: {}
So even in the WORST CASE RANGE it's not really a mistake to get all in on that turn.