I think there is no zero percentage house edge gambling sites are there. Because it is not worth for site owners. If they give 0% house edge then why simply they invest a lot of money to create sites, it is no use. Safedice site I don't have any idea about this site. Let me check once and later I will share my experience. But I think there is not 
Fully agree, that were my exact thoughts on this subject.
Why would any Cassino have it 0%? Unless owner's rich and doesn't need some profit as backup to cover up some of the costs or pure marketing campaign.