The -EV of having a worse hand going in is made up for (and more) by the hugely positive EV knowing his cards. I would almost certainly reraise and try to get it heads up between me and queens.

First, you want to be 100% sure where you are in the hand at all times, and you cannot do that with other hands in the pot. Next, once you are 100% sure where you are, and more importantly where he is, you can totally outplay him postflop. Finally, if he just won't be outplayed (maybe gets super stuboorn and calls down with an A or K on board), or if you actually win and you have to show down, it's great for metagame purposes.