Hey Guru, I've read about how to splice kite lines to remove a frayed spot or connect two different sizes of line together. I've never tried it on kite lines but have on braided fishing line. Con Engels at Windstar Kites has a page to show how. Here's the link -
http://windstarkites.com/FlyLine-No_Knot_Splicing.htm
If the above link doesn't work go to windstarkites dot com and search for no knot splice. This might give you something to do when the weather isn't cooperating.
Good luck & have fun, Ray.