400NL - how do we play this huge draw

[SgtJake]

Villain (BB) is mman_status. I have him at 16/9/2.9/600. I assume he views me as nitty. UTG is a lagtard.

PokerStars No-Limit Hold'em, $4 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

CO ($457.10)
Button ($295.35)
Hero ($396)
BB ($388.60)
UTG ($473)
MP ($400)

Preflop: Hero is SB with A[img]/images/graemlins/heart.gif[/img], T[img]/images/graemlins/heart.gif[/img]. CO posts a blind of $6. MP posts a blind of $4.
UTG calls $4, MP (poster) checks, CO (poster) checks, Button calls $4, Hero completes, BB checks.

Flop: ($26) 8[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(6 players)</font>
Hero checks, <font color="#CC3333">BB bets $20</font>, UTG calls $20, MP folds, CO folds, Button folds, HERO???