This hand got out of control: Was I right to stay in?

[Poker Plan]

Don't get me wrong, I'm glad I won the pot (which was HUGE at this level)- but I am more interested to learn if I played it correctly.

On one hand I think I should have bailed- my TPTK couldn't have good against such a large field showing lots of agro.

But the pot quickly got so big that I felt it wrong to fold. "Luckily" I was saved by the River A.

PokerStars 0.10/0.20 Hold'em (10 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is Button with K[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 fold</font>, UTG+1 calls, UTG+2 calls, MP1 calls, <font color="#666666">1 fold</font>, MP3 calls, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, <font color="#666666">2 folds</font>, UTG+1 calls, <font color="#CC3333">UTG+2 3-bets</font>, MP1 folds, MP3 calls, Hero calls, UTG+1 calls.

Flop: (14.50 SB) K[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
UTG+1 checks, <font color="#CC3333">UTG+2 bets</font>, <font color="#CC3333">MP3 raises</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#CC3333">UTG+1 caps</font>, UTG+2 calls, MP3 calls, Hero calls.

Turn: (14.25 BB) 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">UTG+1 bets</font>, <font color="#CC3333">UTG+2 raises</font>, <font color="#CC3333">MP3 3-bets</font>, Hero calls, UTG+1 calls, <font color="#CC3333">UTG+2 caps</font>, MP3 calls, Hero calls, UTG+1 calls.

River: (28.25 BB) A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
UTG+1 checks, <font color="#CC3333">UTG+2 bets</font>, MP3 calls, <font color="#CC3333">Hero raises</font>, UTG+1 calls, UTG+2 folds, MP3 calls.

Final Pot: 35.25 BB