400NL RR light, turn a draw

[cbloom]

No Limit Hold'em Ring Game (6 max) , 6 players
Blinds : $2/$4

Stacks:
UTG : $394
MP : $995.75
CO : $299.20
BTN : $448.90
SB : $396 (Hero)
BB : $96.70

Pre-flop: (6 players) Hero is SB with 5[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/diamond.gif[/img]
3 folds, <font color="#cc0000">BTN raises to $14</font>, <font color="#cc0000">Hero raises to $46</font>, BB folds, BTN calls ($32).

Flop: 7[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/diamond.gif[/img] ($96, 2 players)
<font color="#cc0000">Hero bets $72</font>, BTN calls.

Turn: T[img]/images/graemlins/diamond.gif[/img] ($240, 2 players)
Hero ???

BTN is a TAG, we've both been very active but haven't tangled with each other at all yet. Is there any merit in shoving/betting here, or should I just check and pray he lets me draw cheap?