No continuation bet 3 ways?

[Absolution]

Do you ever not make a continuation bet 3-ways with whiffed overcards? I thought this spot might have been close. A flop like that seems to hit a lot of limping and cold-calling ranges. I guess offsuit broadways are limping and cold-calling hands as well though. Any examples of where you might do this?

PokerStars 0.50/1.00 Hold'em (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is MP with A[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img].
UTG calls, <font color="#CC3333">Hero raises</font>, Button calls, <font color="#666666">2 folds</font>, UTG calls.

Flop: (7.50 SB) 9[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
UTG checks, Hero...