I’m planning on removing Han’s lines about tracking in any case, simply because it makes no sense to want a ‘clean ship’ and then turn around and take the trackable ship to the Resistance Base.
But the flashing light idea is a good one (is there no problem that can’t be solved by flashing lights?).
When Han and Chewie first come aboard the Falcon, there’s a slow zooming shot of the door, and a steady shot when the door opens. On the lower right there is a little box, on which I could animate a light. By reversing the shot of the door opening with the animated light and placing this shot in the place of Rey saying ‘I can do this’ right when she starts the Falcon’s engines, it would imply that the tracking broadcast began right at the start.
Next, when Han first comes aboard, he pokes his finger into some illuminated blue box on the wall across from the door. After this shot I could place the zoom of the door, and show the tracker is deactivated. That way it’s clear how Han found the Falcon and was given a reasonable amount of time to do it, and why the ship is now safe to travel to the Resistance base without fear of further tracking.