Tried $20, $25, $29 and then $31 was my winning bid!
I have booked a PRICELINE EXPRESS deal and stayed here last year at $39 a night. Maybe that helped with the deal? Also just an FYI if you don't want to mess with booking it shows me that the express deal for 3 stars in the Downtown- Old Quebec area at $39 is the Best Western. I see it as a PRICELINE EXPRESS unlocked deal on my account when signed in!