After some wrangling, I've managed to put together a Win32 Dolphin build with (a slightly revised version of) my no-filtering hack:
http://www.mediafire.com/?4znqo58vm05pjsg
This is activated with the "Force No Texture Filtering" checkbox in the Graphics options.
Currently the result of this is akin to MM9 when playing MM10.
I can tell, however, that the 640x480 (640x360, really, since it's displaying in 16:9) window isn't quite the game's proper display resolution, and I could use some help in figuring out exactly what that is for future encoding purposes - hence why I'm providing this here.
In any case, I'm in a position to dump/encode this when the time arrives. :)
EDIT: After poking around with the "Dump Textures" option, it appears that the Capcom and Intl Creates logos are 640x480. They're stretched slightly horizontally when displayed such that they're not quite 4:3, but I'm under the impression that the game's intended to be displayed at 480p, i.e. 854x480. A quick visual check suggests this is probably the way to go and it's what I'll use to encode the run when the time comes.