Barry and Jim,
I just found something last night at Wal-Mart that I'm going to give a try for 1/700 scale rigging. It's thin, semi-transparent, nylon thread. It's .005" thick which is perfect for this small scale stuff. It doesn't appear to have any fuzz that I can see and it appears to be almost like a monofilament thread.
I'll let you know what I run into using it.