Overpair in RR pot

[xwowsersx]

Poker Stars, $1/$2 NL Hold'em Cash Game, 5 Players
LeggoPoker.com - Hand History Converter

BTN: $276.55
SB: $257.80
Hero (BB): $162.40
UTG: $56.30
CO: $200

CO posts $2
Pre-Flop: J[img]/images/graemlins/spade.gif[/img] J[img]/images/graemlins/heart.gif[/img] dealt to Hero (BB)
UTG folds, CO checks, <font color="red">BTN raises to $10</font>, SB folds, <font color="red">Hero raises to $34</font>, CO folds, BTN calls $24

Flop: ($71) 4[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/club.gif[/img] (2 Players)
Hero checks, <font color="red">BTN bets $36</font>

Hero ....?


Don't have much history on villain. Over a small sample he's somewhat looser with almost no post-flop aggression. He thought for a good while before he called the 3-bet preflop. For some reason, it seemed to me like he was thinking about how to proceed with a huge hand, most likely Aces (I don't usually just put a guy on aces, but it seemed to me like most hands besides KK and AA wouldnt really need to think this long preflop). Maybe my mistake was not betting this flop, but is he betting this flop with hands we're beating? Any thoughts?