I know one natural sweetener that can be use by diabetic people. It is called Natvia. It has no impact on blood sugar level. It is recommended for diabetic people. You can try it.
When eaten in large amounts, usually more than 50 grams but sometimes as little as 10 grams, sugar alcohols can have a laxative effect, causing bloating, intestinal gas and diarrhea. They can't be broken down in the small intestine and acts like fibre.