Kona cottons are horrible. A few years ago, I finally ordered several 1/2 yard cuts of various white quilting cottons and tested them for fraying. First off, the method most of us use for getting a straight cut (hold fabric by selvages, line up until the fold hangs straight) will get close to straight of grain, but not on grain. People about become apoplectic when fabric is torn, but it's a lot more accurate. You might lose 1/4" to 1/2" in cutting that edge off, but I've lost well over an inch on some fabrics after they are cut from the bolt.
The other method is to pull a thread, but most quilting cottons are woven way to tightly to do that.
In my totally non-scientific experiment, I found Kona to be the worst by far. Art Gallery Fabrics, which I have always loved, was the best by far, with Riley Blake's Confetti Cottons a close second. All of the others - Bella, Paintbrush Studios Painter's Palette, Northcott Colorworks and American Made were all more or less the same, as far as fraying goes.
If you have access to FB and want to see my testing and results, you can find it here (be sure to read the intro to the album first):
https://www.facebook.com/media/set/?...2001936&type=3