Those boards are the real reason why I just can't bring myself to re-raise QQ unless I know there's some serious fold equity. I honestly don't think I'm leaving much, if any, money at the table this way either.
I agree pretty much with you, ice and kenny as to the play of the hands (I think I'd actually go with the full $900). I don't think a smallish probe bet will do the trick here. I think it's inviting trouble (that's the reason I use it--when I WANT to invite trouble).
I just find these flops much too difficult to play after a re-raise. There's no maneuvering room left, and letting go after putting in $300 is just deeply disturbing to me ...
I mean, in principle "correct" here is to bet the flop after your re-raise, then let it go to heat. But now you have $1,000 invested and may well have the best hand. I have no idea whether this LAG has a K or not. 88 wouldn't surprize me much either. Just the other day, I saw a LAG, against whom QQ re-raised, come over the top with 88 for $1,000.
My real problem here is that I can lay down QQ to 88 easily on that board after putting in $80. I can't after putting in that much.
I will say this on the hand: If this guy is a true LAG, he doesn't have a K with his check-call. He's hoping his JJ or such will hold up. At least with the players that I'm calling LAG, KQ would put you in on the flop, no questions asked, and would have bet it out, similarly with AA. So, if I really think about it (and this player resembles the LAGs I play), I'd go ahead and bet the turn--AND call an all-in if he makes it.
If you can't do that, I don't think you can re-raise your QQ. Two checks from a LAG is a sign of INCREDIBLE weaknes imo.