AA monotone flop

[Riverrun]

Villian is 23/18/4.5 over 250 hands (probably datamined), but just sat down here recently. I'm running like 24/17/2.5 on this table, but if he's got me datamined it's probably closer to 18/12/2.5.

We've got no history, I got no reads.

Anyways...maybe I'm just imagining it, but FWIW, whenever I have a real big stack like this I feel like I get played back at ALOT. What's your standard line here? Anyone prefer a flop check to avoid c/r? As played, I'm not terribly worried about the button in considering my next move.

Full Tilt Poker - No Limit Hold'em Cash Game - $2/$4 Blinds - 4 Players - (LegoPoker HH Converter)

SB: $401.60
BB: $472.75
<font color="black">Hero (UTG): $1831.95</font>
BTN: $400

<font color="black">Preflop:</font> Hero is dealt A[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/club.gif[/img] (4 Players)
<font color="red">Hero raises to $14</font>, BTN calls $14, SB folds, BB calls $10

<font color="black">Flop:</font> ($44) 9[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/spade.gif[/img] (3 Players)
BB checks, <font color="red">Hero bets $31</font>, BTN calls $31, <font color="red">BB raises to $131</font>

[MasterLJ]

Folding is definitely ok.