[Shillx]

Take a stab at the flop and hope that the button either folds or raises. If he just calls it is no big deal either.

If he folds you can potentially buy the button for the next round of betting and take a free card should you miss. The PFR's most likely hand is something along the lines of AK/AQ so hope that he raises and knocks out his A-big. That is certainly worth something in this big pot if the straight doesn't happen to pan out. It is kinda a win/win situation for you as you would like for him to raise/fold but don't really care if he just calls.

Check/raising the river looks like a good value play here as well and no the turn is fine.