AA faces turn open push on dry board

[ibuckyourfutt]

Party Poker ($2 no limit). Hand converted by Check Raised hand converter

Preflop (5 players): Hero is BB with
UTG calls ($2.00) [2.5:1].
2 folds.
SB calls ($1.00) [6:1].
HERO raises $6.00.
UTG calls ($6.00) [3:1].
SB calls ($6.00) [4:1].

Flop (12 bets ($24) in pot, 3 players):

SB checks.
HERO bets $11.00.
UTG folds [3.18:1].
SB raises $22.00.
HERO raises $38.00.
SB calls ($27.00) [4.52:1].

Turn (61 bets ($122) in pot, 2 players):

SB bets $125.74.

SB has limped and folded a couple hands so far (less than 1 orbit with him).

Flop bet is small but this was my standard cbet size and flop is very dry.

Call or fold to the turn bet, and what hands do you put SB on?

[orange]

Ugh, fold the turn.

I also generally just call the flop and raise most turns when villan is more committed. I think that raising his bet (3-betting) lets him off too easily.

[kitaristi0]

Bet more on the flop and just call the raise and shove the turn. As played I hate it but maybe fold.

[avfletch]

I agree. You need to bet more on the flop here to limit the chances that SB has made this min-check/raise just because your bet looks weak.

[nuts]

bet more on the flop then raise more if he raises.

what are the stack sizes?