checking the turn here, imo, is the worst thing you can do(weak-tight line). You have to define your hand here, I agree with flawless that anywhere between 500-700 is the right bet (more towards the 500 side, your stack can afford it). You have possiblility to get paid off from a bunch of hands (AK, KQ, TT from tight player). If you check and he's straight drawingAQ, QT, Q9 you give deadly free card, or say villain is on KJ,KTs you give free card for chance to suck King AND you give him bluff equity on a scare card (can't possibly call a bet from him w/o read if an Ace or Queen hits river even if it's smallish, he wouldn't put you on check check turn with straight).

Turn, Bet 500-675, if C/R with an all-in, you might have to let go, but I would have to look the odds...your definitely going to see good range here so if odds are right calling a push or pushing might be OK.