villain is total unknown, this is his first hand at the table.

how would you proceed?

PokerStars No-Limit Hold'em, $1.00 BB (7 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($78.05)
SB ($102)
BB ($100)
UTG ($88.20)
Hero (MP1) ($172.55)
MP2 ($114.45)
CO ($148.80)

Preflop: Hero is MP1 with A, J
1 fold, Hero bets $3, 4 folds, BB calls $2

Flop: ($6.50) 2, 4, 4 (2 players)
BB checks, Hero bets $4, BB raises to $11, Hero ?