Flat call or Shuv???

[Xexilla]

You will have to excuse me not sitting full stacked but lost some on the previous hand and didn't have chance to reload need to sort out my ahk script screwed up since the update. Ok Villain is a pretty standard player but certainly capable of making plays.... running at 38/14 has a wide calling range preflop so cud have any 2 here.

Poker Stars, $0.50/$1 NL Hold'em Cash Game, 5 Players
LeggoPoker Hand History Converter

Hero (UTG): $85.25
CO: $41.45
BTN: $95.45
SB: $37.85
BB: $111.45

Pre-Flop: K[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] dealt to Hero (UTG)
<font color="red">Hero raises to $4</font>, 3 folds, BB calls $3

Flop: ($8.50) J[img]/images/graemlins/heart.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/club.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $6</font>, BB calls $6

Turn: ($20.50) T[img]/images/graemlins/diamond.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $16</font>, BB calls $16

River: ($52.50) J[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">BB bets $32</font>

Should I be shuvving this river or flat calling?? which is the most profitable in the long run?? I felt he was only calling with a bare J QJ/KJ/J9 everything else that calls would have me beat imo or am I wrong?? Thoughts please. [img]/images/graemlins/smile.gif[/img]