I'm sure you could work up a script that allowed you to organize the CSV data in playlist order

I hate to say it, but frankly no, you can't. Sure, it reports the FID and the filename, but the songs will most likely not be in the order you have them in your playlists. Therefore there isn't a way to get an exact copy of what you have on your player. At least not a pretty one.

I've tried to do stuff with the imported database, but it sure doesnt' look good.

DiGNAN
Ob-La-Di, Ob-La-Da, etc.