How do you play trips with two on the board?

[WhiskyRiver]

I've come across this situation a lot lately and was hoping for some advice on how to generally get this most money out of it. Scenario: heads up holding, say, JQs. Raised by someone who likes to raise with any ace, suited k, low pair, whatever. You call, everyone else folds. QQx on the flop. For the sake of discussion, they don't have a queen or the boat. What's the best way to get chips here, if any at all?