You can try bustadice, it has 1% house edge that actually fits your ideal dice-game site. I've been playing this for couple of months now and I could say that this is a good site with probably fair policy, I enjoy it a lot and I also like the of instant withdrawal with lower fees of course. Try to click my link and I hope you enjoy this site.
I used to play bustabit and enjoyed it until the bonuses were removed. It was the only gambling site I knew of that actually gave me a house edge but I don't play anymore.