AT in BB vs button raiser

[Poker monkey]

Trying not to be results oriented and wondering if I played this hand in a +EV manner, or if it's too reckless.

This is button's 3rd hand at the table. 1st, from BB, he put in a big raise vs a limper and everyone folded. 2nd, he completed SB vs a limper and bet out on flop, everyone folded. So not much of a read but seems fairly active. He probably has no image of me.

Blinds: $0.50/$1
8 players
Converter

Stack sizes:
UTG: $120.85
UTG+1: $313.90
MP1: $83.60
MP2: $150.50
CO: $66.10
Button: $104.35
SB: $57.25
Hero: $99.00

Pre-flop: (8 players) Hero is BB with A[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/club.gif[/img]
5 folds, <font color="#cc0000">Button raises to $3</font>, SB folds, <font color="#cc0000">Hero raises to $11</font>, Button calls.

Flop: 6[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/heart.gif[/img] K[img]/images/graemlins/heart.gif[/img] ($22.5, 2 players)
<font color="#cc0000">Hero bets $15</font>, <font color="#cc0000">Button raises to $30</font>, <font color="#cc0000">Hero raises all-in to $88</font>