$50 NLHE 6-max: Shall we call off half our stack on an underpair?

[Deco]

$50 NL HE 6-max: Shall we call off half our stack on an underpair?

Opponent is 18/12/46 (400 hands)
Check raise flop= 22%

Full Tilt, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
Hand History Converter by Stoxpoker

BB: $93.85 (187.7 bb)
UTG: $38.50 (77 bb)
MP: $37.45 (74.9 bb)
CO: $40 (80 bb)
Hero (BTN): $56.45 (112.9 bb)
SB: $49.05 (98.1 bb)

Pre-Flop: Hero is BTN with 4:spade: 4:club:
2 folds, CO calls $0.50, Hero raises to $2.50, SB folds, BB calls $2, CO folds

Flop: ($5.75) 3:heart: 3:diamond: T:diamond: (2 players)
BB checks, Hero bets $3, BB raises to $9, Hero calls $6

Turn: ($23.75) J:club: (2 players)
BB bets $13.50, Hero ???

Yes I know it looks like a blatent fold but what the hell is he representing here?
Should I have folded on the flop?
Does anyone think a call here is anything other than idiotic?

 

[ImolAyrton]

If you dont put him on a pair preflop, Than I would rerais him here, if he 3bets you, you have to fold

 

[S93]

I just fold the flop tbh.
His range is like 44-99 some TJ,TQ,TK,TA type hands and Adxd,7d8d stuff imo and i just dont see what we possibly beat here.
Sure villain might be going spaztic with AQ or KQ but even then he has good equity against us so i just let it go.
I would hate calling down alot less here if we had like 88 instead of 44 since then where actualy ahead of some of his pairs(witch imo is a pretty decent part of his range) but as is we barrly even beating a bluff so i just give up on the turn.


edit:
If villain is a solid reg his range obvs is gonna include alot more air cause of the paired board but where still doing pretty crappy against his range if u throw in a few bluffs