200NL: AK BB vs. SB in 3-Bet Pot

[The Eureka Kid]

Villain is 13/8/4.4 over 200 hands

Poker Stars, $1/$2 NL Hold'em Cash Game, 8 Players
LeggoPoker Hand History Converter

BTN: $199
SB: $210
Hero (BB): $342.10
UTG: $78.40
UTG+1: $75.50
MP1: $121
MP2: $283.80
CO: $209.80

Pre-Flop: K[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/diamond.gif[/img] dealt to Hero (BB)
6 folds, <font color="red">SB raises to $8</font>, <font color="red">Hero raises to $24</font>, SB calls $16

Flop: ($48) T[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 2[img]/images/graemlins/spade.gif[/img] (2 Players)
SB checks, <font color="red">Hero bets $38</font>, SB calls $38

Turn: ($124) 9[img]/images/graemlins/club.gif[/img] (2 Players)
SB checks, <font color="red">Hero bet/calls or bet/folds?</font>

<font color="green">Checking behind feels bad, two flush draws out there and I don’t want to give a free card to AQ, AJ. Am I willing to felt this hand the way it was played and against this player? Can I bet an amount on the turn that will allow me to fold if he c/r’s me? I don't know maybe some people would advocate checking behind... if so what is your river plan?</font>