I always like to have my vampires be complete slaves to sin. Incapable of resisting pride, or lust, or wrath, etc. With that in mind, you'd just have to play the vampire's pride/sins until the sun comes up. You could insist that they are getting tired each time they are about to finish you, and their pride would force them to let you go to continue the chase. Saying that they are nothing without their weapons would force them to fight bare-handed, increasing your longevity.
They're not stupid, but they are so incomprehensibly prideful that they will ignore common sense in favor of satisfying their ego.