Don't know much about villain except he floated me earlier w overs and tried to steal on blank turn.

What to do here? If I call here and blank river I'll be getting better than 3:1 if he shoves. Should I C/RAI here? I am lost. I think he can have a set or worse FD and maybe some overpairs on the flop.

Full Tilt Poker, $0.50/$1 NL Hold'em Cash Game, 5 Players
LeggoPoker.com - Hand History Converter

Hero (SB): $125
BB: $100
UTG: $154.55
CO: $160.50
BTN: $104.45

Pre-Flop: 8 A dealt to Hero (SB)
3 folds, Hero raises to $4, BB calls $3

Flop: ($8) 3 4 9 (2 Players)
Hero bets $5, BB raises to $16, Hero calls $11

Turn: ($40) A (2 Players)
Hero checks, BB bets $32, Hero?