Fold this tp on the turn?
 

I´ve just started the session and have nothing on my opponent.

Hold'em NL ($0.25/$0.50)

Hero ($38.10)
Button (Villain) ($110.62)

----- HOLE CARDS -----

dealt to Hero [Ks Ad]
Mark--: folds
tekgun: folds
Hero: raises to $2.50
gryumeg: folds
Heggood: folds
ISSPRAY: folds
pjcc: folds
Finntilt: calls $2.50
spacecake: folds
Nomar9999: folds

----- FLOP ----- [9h As 3d] [$5.75]

Hero: bets $4
Finntilt: calls $4

----- TURN ----- [9h As 3d][8c] [$13.75]

Hero: bets $8
Finntilt: raises to $37

What possible hands do I beat here?

Re: Fold this tp on the turn?
 

Without a read, I would.

Also, your flop and turn bets should be bigger.