Generally speaking, I just check/call all the way down once the pot gets this huge unless I spike an ace. But I find myself in this situation all the time and it's not really addressed in any of the literature.
Paradise Poker 0.25/0.50 Hold'em (10 handed)
converter
Preflop: Hero is SB with K[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img].
UTG calls, UTG+1 calls, UTG+2 calls, MP1 calls, MP2 calls, <font color="#CC3333">MP3 raises</font>, <font color="#666666">
2 folds</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#CC3333">BB caps</font>, UTG calls, UTG+1 calls, UTG+2 calls, MP1 calls, MP2 calls, MP3 calls, ($0.25)
Flop: (34 SB) 6[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(7 players)</font>
Hero checks, <font color="#CC3333">BB bets</font>, UTG folds, UTG+1 calls, UTG+2 calls, MP1 calls, MP2 calls, Hero calls.
Turn: (17 BB) 5[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(7 players)</font>
Hero checks, <font color="#CC3333">BB bets</font>, UTG+1 calls, UTG+2 calls, MP1 calls, MP2 calls, Hero calls.
River: (23 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(7 players)</font>
Hero checks, <font color="#CC3333">BB bets</font>, UTG+1 calls, UTG+2 calls, <font color="#CC3333">MP1 raises</font>, MP2 calls, Hero...?
Final Pot: 32 BB