Tell it to me straight: QQ

[ThinkQuick]

Is this the quintessential overplayed Queens at a 3/6 limit game?

Folded to girl on my immediate right in MP who calls (she has seen every flop since she sat down)
I raise with QQ.
Folded all the way down to SB who calls, and BB who raises.
Girl calls, I 3-bet, SB calls, BB caps, all call.
-both SB and BB have raised early preflop with suited conenctors like TJ, but there has been little 3-betting/capping so I didn't know what their restrictions were to do that.

Flop : J 4 6 Rainbow

SB checks, BB bets, girl folds, I raise, SB calls, BB 3-bets, I cap, both call.

Turn: [J 4 6] 7 completes rainbow. At this point all 3 of us in the hand have over buttons, which means that the betting increases from 3/6 to 5/10. SB checks, BB checks nervously. I bet 10, SB folds, BB calls.

River: [J 4 6 7] A
BB checks and looks increasingly anxious. I bet, BB says 'good hand man..' then calls.
He shows KK and is very surprised to take it. He told me he had me on aces.

How should I have done this all differently?
Should I have?