Overpair, but raised on flop en turn: fold?

Button is a tight player (22% of the flops seen over 80 hands) and also good aggressive (7,2% preflop raise and agressionfactor of 3.0).

Should I have gone to showdown with this hand, or not?

I was thinking like this:

Flop: He raised me on the flop, so perhaps TPTK or something like that.

Turn: He did not cap it, so perhaps scared by the 3-bet from me if he did indeed had TPTK. He raised me again, so here i'm almost sure that i'm beat. I did however call hoping that the board would pair (perhaps counterfeiting a twopair from him) or to catch a queen.

River: I did not improve, but couldn't let it go...

Party Poker 0.50/1 Hold'em (9 handed) FTR converter on zerodivide.cx

Preflop: Hero is MP3 with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/club.gif[/img]. CO posts a blind of $0.50.
UTG calls, <font color="#666666">1 fold</font>, MP1 calls, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, CO (poster) calls, Button calls, <font color="#666666">2 folds</font>, UTG calls, MP1 calls.

Flop: (11.50 SB) J[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
UTG checks, MP1 checks, <font color="#CC3333">Hero bets</font>, CO folds, <font color="#CC3333">Button raises</font>, UTG calls, MP1 folds, <font color="#CC3333">Hero 3-bets</font>, Button calls, UTG calls.

Turn: (10.25 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
UTG checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">Button raises</font>, UTG folds, Hero calls.

River: (14.25 BB) 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets</font>, Hero calls.

Final Pot: 16.25 BB