loose passive shortstack

Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.50/$1
6 players
Converter

Stack sizes:
UTG: $22.80
UTG+1: $50.50
CO: $89.60
Hero: $98.50
SB: $154.05
BB: $110.40

Pre-flop: (6 players) Hero is Button with K A
UTG folds, UTG+1 raises to $3, CO calls, Hero raises to $14, 2 folds, UTG+1 calls, CO folds.

Flop: T 9 6 ($30.5, 2 players)
UTG+1 checks,

Villain is 69/8, and has $36 behind

His preflop raise range is fairly small. It will be hard to push him off his hand but I don't see folding as much of an option with that much behind. I think just push and hope he folds or you suck out. I get the feeling you can get your money back (if you lose) by taking the same line with a real hand.

Another option is to check the flop but I think you may lose fold equity and will most likely be calling a turn push.