Would you fold KK to reraise on Turn Straight draw board?

[JC_Saves]

I had KK the hand before this and won a little pot when no one improved to give me any action, couldn't pull off a CR on turn.

Got KK very next hand again. I knew the flop was terrible for me. I CR the flop. Was this a bad play?

Should I have just check/called down from the turn. I knew I was beat when I got reraised on turn.

Party Poker 0.5/1 Hold'em (8 handed) converter

Preflop: Hero is SB with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
UTG calls, UTG+1 calls, MP1 calls, <font color="#666666">2 folds</font>, Button calls, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, UTG calls, UTG+1 calls, MP1 calls, Button calls.

Flop: (11 SB) 7[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
Hero checks, <font color="#CC3333">UTG bets</font>, UTG+1 calls, MP1 calls, Button calls, <font color="#CC3333">Hero raises</font>, UTG calls, UTG+1 calls, MP1 calls, Button calls.

Turn: (10.50 BB) 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(5 players)</font>
<font color="#CC3333">Hero bets</font>, UTG calls, UTG+1 calls, <font color="#CC3333">MP1 raises</font>, Button folds, Hero calls, UTG calls, UTG+1 calls.

River: (18.50 BB) 3[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
Hero checks, UTG checks, UTG+1 checks, <font color="#CC3333">MP1 bets</font>, UTG folds, UTG+1 calls.

Final Pot: 20.50 BB