I'm not diabetic, so I don't have experience with adjusting for blood sugar changes, and I'm not fully informed on which grains are best... but:
I find that brown rice is WAY more filling than white rice, so you would probably be able to use a lot less of it for the same effect? I think you can get brown jasmine rice, too.
I like quinoa and you can make it in the rice cooker, but I haven't tried doing much with it. It does make a good tabouli. And it's pretty good on its own.

