If he called your turn bet then on the river if the board pairs you 100% should check to him. If he moves all in you should fold. KKd is never going to make a bluff at that pot so you are either crushed or he will check back and you will win the pot. IMO 99% of opponents will never make that bluff and realistically it is a terrible bluff as you have boats in your range and there is no certainty that the Ad would even fold.