Does anyone know whether it's OK to use Stevia as an alternative during such a sugar-free diet?
That being said, if you HAVE to add sweetener stevia is probably your best choice.
Another natural sweetener called erythritol (http://en.wikipedia.org/wiki/Erythritol) is also very good. Unlike stevia, I believe it works on its own, with no modifications required to remove bitterness etc.