I wanted to check my thought process on this one, especially since more often now I am thinking " what do I do if I get raised here..."
Preflop: Could have maybe just made it $1.00 to reduce SPR's and make getting it in on good boards a bit easier, but other than that pretty standard
Flop: Bet/fold, bet/call, bet/3b, bet shove OR check behind and bet most turns?
As played, I was planning on playing bet/broke vs a check raise. However, I was not sure if this would have been overplayed.
I figure a conservative range for villain calling a 3b OOP would be as follows:
JJ-22,AQs-A2s,K9s+,Q9s+,J9s+,T9s,AQo-A9o,KTo+,QTo+,JTo ( I expect QQ+, AK+ to 4b almost always, maybe villain flats AKo sometimes)
So vs TP+ and good draws (probably a check/calling range for villain) that I am value betting against I have the following equity:
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Board: 3c7cTc
Equity Win Tie
SB 33.41% 33.41% 0.00% { JJ, TdTh, TdTs, ThTs, 7d7h, 7d7s, 7h7s, 3d3h, 3d3s, 3h3s, AcQc, AcJc, QcJc, AdTd, AhTh, AsTs, KhTh, KsTs, QdTd, QhTh, QsTs, JdTd, JhTh, JsTs, Ac9c, Qc9c, Jc9c, Td9d, Th9h, Ts9s, Ac8c, Ac6c, Ac5c, Ac4c, Ac2c, AcQd, AcQh, AcQs, AcJd, AcJh, AcJs, AdTh, AdTs, AhTd, AhTs, AsTd, AsTh, AcTd, AcTh, AcTs, Ac9d, Ac9h, Ac9s, KhTd, KhTs, KsTd, KsTh, QdTh, QdTs, QhTd, QhTs, QsTd, QsTh, QcTd, QcTh, QcTs, JdTh, JdTs, JhTd, JhTs, JsTd, JsTh, JcTd, JcTh, JcTs }
BB 66.59% 66.59% 0.00% { KdKc }
So I think I have an obvious value bet there.
However, vs a check raising range I think I am slightly behind ( vs my estimation of his range)
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Board: 3c7cTc
Equity Win Tie
SB 54.67% 54.67% 0.00% { TdTh, TdTs, ThTs, 7d7h, 7d7s, 7h7s, 3d3h, 3d3s, 3h3s, AcQc, AcJc, QcJc, Ac9c, Qc9c, Jc9c, Td9d, Th9h, Ts9s, Ac8c, Ac6c, Ac5c, Ac4c, Ac2c, AcQd, AcQh, AcQs, AcJd, AcJh, AcJs, AdTh, AdTs, AhTd, AhTs, AsTd, AsTh, AcTd, AcTh, AcTs, Ac9d, Ac9h, Ac9s }
BB 45.33% 45.33% 0.00% { KdKc }
If villain were to check shove then I would need approx 40% equity to call here according to my calculations ( please correct me if these are off)
Spoiler
amount to call: 8.53-0.95 = 7.58
Total pot = 8.53 + 2.45 = 10.98
10.98 / 7.58 = 1.44:1
E* to call = 1+1.44 = 2.44
1/2.44 = 0.40 * 100 = 40%
So According to this it should be okay / nearly break even if we factor in rake vs these ranges? I villain is going broke lighter than this (somewhat conservative range) then we are in good shape right? I think this is essentially the same situation if villain were to x/raise small and I 3b-shove the flop as well. I think this would be a better line than calling IP because a Turn or River club could kill our action (vs worse 1pr hands) or hurt us (vs 
hands)
PokerStars - $0.10 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4
BTN: 62.6 BB (VPIP: 100.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 2)
SB: 92.8 BB
Hero (BB): 100 BB
UTG: 29.4 BB
MP: 110.4 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 1)
CO: 100 BB (VPIP: 25.00, PFR: 12.50, 3Bet Preflop: 0.00, Hands: 8)
SB posts SB 0.5 BB, Hero posts BB 1 BB
Pre Flop: (pot: 1.5 BB) Hero has K♦ K♣
fold, fold, fold, fold, SB raises to 2.5 BB, Hero raises to 7.5 BB, SB calls 5 BB
Flop: (15 BB, 2 players) 3♣ 7♣ T♣
SB checks, Hero bets 9.5 BB, fold
Hero wins 14.3 BB
