Now I am going to be the first to admit that I picked a part I "THOUGHT" was unique to a 5r44e, it may very well be common with the 5r55e or or or - so that list might be bigger than what reality is. The ford dealer's parts page also tells you what all applications of subassemblies as well and in this case it says:
........
I would argue that this is a trimmed down enough list that when paired with our (TRS's) tech article, this is more than "accurate enough" to filter your yard hunt.
The flaw in your slaw is that the 4R44, 4R55, 5R44, and 5R55 are almost the same transmission. The 4R44 and 4R55 were derived from same transmission, the A4LD, just one has beefier internal components than the other and bellhousings changed to match their respective engine. The 5R44 and 5R55 are essentially the same transmission as the 4Rs, they just had some extra electronic wizardy applied to create an additional gear. Most of the components from a 5R55E can be installed into a 4R44E case.
Even your list shows what the tech article says if you understand and know a few key things about Rangers, if you don't (like OP) you're likely to end up with the wrong transmission. First thing to know, the Explorer/Mountaineer never came with the 3.0L so you can strike those off the list. Second, the 5R44E was introduced in 2001 on the 3.0L and the 3.0L was discontinued after 2009, so you can knock 1999-2000 and 2010-2011 Rangers off the list. Third, while the Mercury Mountaineer is listed, the Mazda B3000 is not listed.
No offense, but using that search method would have had OP looking at 3 models that were inapplicable and ignoring a fourth that is the same basic truck. Those types of complications aren't limited to transmission related items. For this the tech article is more than accurate enough by itself.