You are in luck. I just bought the Deni Ice Cream Machine and successfully used a variaiton of Atkins recipe.

Vanilla Ice Cream
5 egg yolks
3 t vanilla extract
8 t Splenda (or 4 pkt of either sweet'nlow or nutrasweet)
1/4 cup water
2 cups heavy cream

Blend everything together and refrigerate over night. You want your mixture to be cold when you add it to your ice cream machine.

My first try did freeze way too fast and jammed the ice cream machine blades, however, I reblended my ingredients and reused them "after" I rinsed out the canister with cold water to eliminate the "instant freeze" effect.

Good luch.