[skp]

I don't think he has a Queen. If he did, it's hard to see how he can go that many bets on the turn unless of course he had QT but if he did, he probably keeps raising the turn (besides, I doubt that he calls three cold before the flop with QT). So, you should be in the lead on the river unless he specifically has JJ with which he likely will not raise if you bet but will bet if you check. I doubt that he bets any other hand except perhaps AK. However, it will be tough for you to checkraise any river bet. So, the best play is to bet as there are lots of hands that he will call with that you beat.

BTW, I put him on AJ or AK with AJ being more likely.