When you do this, the items that you have already tapped will be fresh in your mind, so all that you will have to worry about is the items that you haven’t yet tapped. As you play it more, you’ll learn the location of everything and rack up a super high score without having to use any hints.
In levels like that where you are not using hints, always be sure to pick Clawhouser as your partner. If you pick anyone else, they will have to cool down even if you don’t use a hint. Only take the other cops on new levels that you suspect that you will have to use plenty of hints for.