No answers??
I have two Kala Pocket Ukes and I use Worth Clears (light), and they are absolutely the best strings for that size. I know the scale is 11", but it's all I can do to help. I'm sure they would work well with a super-small uke, too.
If not, some SeaGuar fluorocarbon fishing line in lighter weight than what Worths are. Just something to think about. Search 'fishing line' in the forums, lots of ideas there.
Scott