if you lost this hand there is no way he would have folded whatever you lost to anyway so I don't understand your question
betting or not betting the turn is not even a decision, it doesn't make a difference because you have $2 left in a $8 pot
you could make the case that he'll call with a random 8 because he thinks he has "the odds" to draw but he'll fold the river if he misses
but it doesn't really matter