It only took about 6 hours of looking, spread across 2 days, but I finally found the correct cable and adapter so I can hook up one of my older laptops directly to my TV, for Amazon Prime viewing. And I actually got a couple of boxes worth of un-sorted stuff put away in the process, so the exercise was more productive than I make it sound at first. On the other hand, halfway through, I realized a potential efficiency improvement for my outlet-splitting situation, but still can’t remember where I saw the key component for the new vision. It’s somewhere in the place, I’ve seen it within the last 7 days, I’m sure of it.
I’m also sure I accidentally buried it while questing for the VGA male-to-male adapter. d’oh.