Flopped trips, can I get away from this?

[student_of_game]

2/4 NLHE.
Stacks:
Villain has about $190 in front and I cover.

Preflop: Folds to me on the button and I decide to raise to $16 with 7[img]/images/graemlins/diamond.gif[/img] 5[img]/images/graemlins/heart.gif[/img]. Villain in small blind calls.

Flop (pot: $36, two players): 8[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/club.gif[/img]
Villain checks, I bet pot, villain calls.

Turn: (pot: $116, two players, board: 8[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/club.gif[/img]): 6[img]/images/graemlins/diamond.gif[/img]
Villain checks, I bet $92, villain pushes...

Blech... It's only about $46 more for me to call. Can I even consider a fold given such a small amount more to call?

Could/should I have played this hand differently?