You have made a number of gross assumptions - the abductor would have dumped the body? What body? Do you mean the child he has just stolen for reasons unknown?
We don't know in what condition Maddie left the appartment. She might have been alive or she might have been dead. If she was alive she had to be heavily drugged, to lie calm in the arms of the perp, as described by Tanner.
Now, if Maddie was dead, it's a quite reasonable assumption that the perp wouldn't have been walking around Praia for 45 minutes, because that would have been too risky. What if he bumped into the cops, or someone noticed the child was dead? What if someone associated a man, carrying a lifeless girl with the news about Maddie being missing? Darrrrn too risky.
An abductor would have had a car? Why, are all abductors made to have one by law?
You know, a kidnapper needs to get away from the scene of the crime fast. Very fast. A car helps a lot with that. So it is another reasonable assumption, that if someone planned to kidnap Maddie, this person would secure a quick way out the town - in a car, waiting nearby the appartment 5A.
Now, we may theorise that she was kidnapped at the spur of the moment, by some mentally deranged person who found out the helpless chold in the unlocked flat. But, ah there is a BUT. We know nobody heard Maddie screaming or crying that night, and the child, carried by Tannerman, was just lying in his arms, not fighting, not resisting, not crying. Like it was asleep. So she had to be drugged, but nobody walks around with a shot of sleeping drugs in his pocket, SO whatever happened to Maddie had to be, at least to some extent, planned. So f the perp prepared the drugs, why wouldn't he prepare the car?