100NL KK post-flop OOP facing raise

[Jimmakos]

Poker Stars, $0.50/$1 NL Hold'em Cash Game, 6 Players
LegoPoker Hand History Converter

SB: $47.95
BB: $101.50
UTG: $134.55
Hero (MP): $95
CO: $184
BTN: $100

Pre-Flop: K[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img] dealt to Hero (MP)
UTG folds, <font color="red">Hero raises to $4</font>, CO calls $4, 3 folds

Flop: ($9.50) 7[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/heart.gif[/img] 4[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">Hero bets $9</font>, <font color="red">CO raises to $27</font>, <font color="red">Hero raises to $91 and is All-In</font>, CO calls $64

Villain is 29/19/3 (500 hands). I'm playing 20/16/3.7 at that table. No reads.

Alternative play? Call flop bet and evaluate on turn? Shove if turn is not a heart, otherwise c-f? B-f on turn I think is out of the question, right?

Without reads, how often are we afraid of a set here instead of a draw?