NL50 - playing an overpair too aggressively on the flop?

[CesareBorgia]

Villain is 16/3/0.75. Should I have just called on the flop? It's hard to improve my hand on subsequent streets and therefore I want to win the hand immediately. Because of this, I consider just calling on the flop a bad play.

Ultimate Bet No-Limit Hold'em, $.50 BB (10 handed) Hand History converter Courtesy of PokerZion.com

UTG+1 ($33.55)
UTG+2 <font color="#A500AF">(Villain)</font> ($80.90)
MP1 ($51.35)
MP2 ($34)
MP3 ($15.85)
CO ($54)
Hero ($52.40)
SB ($50.25)
BB ($58.85)
UTG ($18.50)

Preflop: Hero is Button with T[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, UTG+2 <font color="#A500AF">(Villain)</font> calls $0.50, MP1 calls $0.50, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to $3</font>, <font color="#666666">2 folds</font>, UTG+2 <font color="#A500AF">(Villain)</font> calls $2.50, MP1 folds.

Flop: ($7.25) 4[img]/images/graemlins/diamond.gif[/img], 8[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Villain bets $2.25</font>, <font color="#CC3333">Hero raises to $12</font>, <font color="#CC3333">Villain raises to $21.75</font>, Hero folds.

Final Pot: $41