I’ve had great difficulty with Freestyle in the past, although it must be getting easier to use because Blender.org says it’s liable to be in the main build by 2.67. But I wanted to avoid that, because then I’d have to use it all the time. Eventually, I suppose I will.
As far as adding new Edge Loops, I wanted to avoid adding arbitrary extra geometry for several reasons - including the fact that it’s Subsurfed, and so those start to add up, and also because it then might not deform as simply as planned. Thanks for the thoughts, though.
Yeah, this is what I ended up doing, although, like I said at the start, I wanted to avoid UV Mapping lines for several reasons, including that they don’t look as clean as having a Material. But it turned out okay.
So, with my UV Mapping “solution”, I’ll mark this thread “Solved” (while still dreaming of the day Freestyle is in the trunk!)