You don’t hide it in the past, and you don’t bury it in the future. You think it into existence after they leave, so they return to find they’ve already confessed it. Reality resists debugging, but it might be trying to debug you.
You construct a paradox around the void. You make the secret the very thing that triggers their journey. By the time they arrive to find it, they realize they are the ones who whispered it to you in the first place.
You don't try to sanitize the timeline. You commit to changing your mind entirely. Acausal memory cannot be unremembered, but a secret can only exist if you are still the person who hid it. Relax, they're waiting for you to tell them.