Being that he's a tight, straight forward player, I'm sure you're behind in this spot. From the description, you are probably facing AQ (poss suited), or maybe Q 10. Due to the players image (based on your description) I would call in this spot and base the river decision on the card. I mean, and As falls, you know you're in good shape. An 80% pot bet is likely to get paid off. If not, you can just check it down and hope he does the same.