50NL 225 BB Deep with a set in a reraised pot

[AsydRayne]

BB is a short stacked donkey playing 80 / 13 / 1.5 over 40 hands
BTN is a good but very aggressive player 23 / 19 / 6 over about 180 hands

I have been playing pretty standard TAG and my stats should be about 20 / 15 / 3
Poker Stars
No Limit Hold'em Cash Game
$0.25/$0.50 Blinds
6 Players
Lego Poker Hand Converter

<font color="black">Stack Sizes</font>
SB: $56.25
<font color="green">BB: $10.20</font>
UTG: $22.40
<font color="green">Hero (MP): $145.80</font>
CO: $49.20
<font color="green">BTN: $121.55</font>

<font color="black">Preflop:</font> 7[img]/images/graemlins/spade.gif[/img] 7[img]/images/graemlins/club.gif[/img] ($0.75, 6 Players)
UTG folds, <font color="red">Hero raises to $2</font>, CO folds, <font color="red">BTN raises to $6.50</font>, SB folds, BB calls $6, Hero calls $4.50

<font color="black">Flop:</font> Q[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/spade.gif[/img] ($19.75, 3 Players)
<font color="red">BB bets $0.50</font>, <font color="red">Hero raises to $4</font>, <font color="red">BTN raises to $16</font>, BB calls all-in for $3.20, <font color="red">Hero ??</font>

This was an interesting hand. I think I made a mistake with my next move, but the villain nullified it by making a bigger mistake. What do you guys think the best play is here?