Stevia and erythritol are both considered to be the safest sweeteners for diabetic use, as they won't either raise glucose levels or cause gastric issues, and are what I'd consider to be "alternative" rather than artificial sweeteners, and the only ones that I'll use.
I've used both an erythritol/stevia mix, and pure stevia drops and don't have any issue with glucose levels, or with taste - but stevia is extremely sweet and can be a bit weird if you overdo the drops. There are different varieties of the stevia plant and the more expensive stevia rebaudiana is supposed to have no unpleasant aftertaste. Also for the real purists you can buy either green stevia - the ground up leaf, or buy the seeds and grow your own plants and I think there's been a post about someone doing this. There also appears to be some research that suggests that stevia may be helpful with diabetic insulin issues.
Xylitol is another sweetener that is considered safe for diabetic use, but it is also extremely toxic to dogs, so not safe if you have them in the house.
There are various comparison tables and plenty of information regarding pros and cons for different types of sweeteners on the web, so have a good Google for more details.
Robbity