Or... They simply did not look in the right area until all parts had sunk, if they flew until they ran out of fuel the trail of fuel on the surface would have been very small also. A controlled ditch can also leave the plane intact and will leave no trails on the surface.
+1 on a controlled and slow ditch...
I think without the large fuel trail and lack of any identifiable flotsam, the likelihood of the plane diving into the ocean at a near vertical dive without breaking up prior to impact is not reasonable...remember the EgyptAir crash - a direct dive ripped off the engines and the plane porpoised before finally hitting the ocean at a fairly steep angle - there was a tonne of flotsam to help identify the aircraft hitting the water over 500+MPH.
Another theory (at least one my wife thinks what happened) is that the plane landed on the ground on some remote runway on an island. Or it ran out of fuel and crashed into the land.
The data from the aircraft doesn't have any steep decent information... then again, they can't even really figure out when they lost contact with it either...