100NL: AKs flops NFD OOP in 3-bet pot

[squashington]

I'm a self-admitted AK donk looking for some feedback on this hand. No reads on villains but he was 17/17 over 20 hands FWIW.

Pokerstars No-Limit Hold'em, $1.00 BB (6 handed) pokerhand.org hand converter

Button ($158.55)
SB ($41.70)
BB ($101.20)
Hero ($114.95)
MP ($63.55)
CO ($100)

Preflop: Hero is UTG with A[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises to $4</font>, MP calls $4, <font color="#666666">1 fold</font>, <font color="#CC3333">Button raises to $14</font>, <font color="#666666">2 folds</font>, Hero calls $10, MP calls $10.

Flop: ($43.50) 4[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets $34</font>, MP folds, <font color="#CC3333">Button raises to $144.55</font>, Hero calls $66.95 (All-In).


Final Pot: $289

Pre-flop: Is there a case for 4-betting pre and shoving the flop? A 4-bet would put around $95 in pre leaving a $70 flop shove.

Flop: Do we lead here? Is anyone not playing for stacks with this flop? Even if opponent has KK or AA we likely have at least 11 outs. I chose to lead just in case the 3-better checked behind w/ AK and a red blank turned.