Now that the boys from Langley seem to be worried, I guess it'll take just a few passes of satelllites to make a picture of every suitable airfield in Africa (especially Western Africa). You can't hide an airliner like that for long.
The other possibility is that the guy who "repo-ed" his aircraft will make himself known to the authorities, because this story is starting to make the headlines. If he did it, I wouldn't be waiting for the CIA to knock on my door, I'd tell them "Hey, it's me, no big deal, that's the only way I found to have this plane back".
In both cases, it shouldn't take much time before we know what's going on.
Unless the aircraft was indeed stolen (by an "intoxicated" pilot ?) but crashed in the jungle...