MP is a big fish who just lost most of his stack on the previous hand. I am 100% sure he is moving in with any two cards on this hand. BB is a huge nit. Should I bluff this turn expecting to be losing to BB but beating the all-in fish? Should I have bluffed the flop too?

PokerStars No-Limit Hold'em, $4 BB (9 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP ($26.85)
CO ($353.50)
Hero ($705.20)
SB ($438.95)
BB ($447)

Preflop: Hero is Button with 2, A.
MP raises to $26.85, 1 fold, Hero calls $26.85, 1 fold, BB calls $22.85.

Flop: ($82.55) 9, 4, 9 (3 players)
BB checks, Hero checks.

Turn: ($82.55) J (3 players)
BB checks, Hero bets $60