Yet another speed of light paradox?

I know this doesn't really address the question you asked, but no, you wouldn't see them. You can only see a photon that is traveling at you and enters your eye (or hits some other sensor that can detect it). The speed of light has no bearing on this. In order for you to see the photon, you would either have to overtake it, or it would have to reflect off of something and bounce back in to your eye.