Now, no one is going to believe this. But I might as well be the crazy guy in the asylum, so here goes:
I went to clean up my desktop, and clicked on the ClipGrab icon - and something different happened. Now it told me there's an update. A tiny one, going from version 3.9.10 to 3.9.11, like, JUST NOW. Earlier, their site had said my 3.9.10 was the latest. So I said why not, and downloaded it. And guess what? It worked.
So this .11 version of ClipGrab is working for me. As is the other app.
I'M RICH!!!!! (For now.....)