I have a recipe that you guys could try out if you are in the need for ice cream....
I make it all the time with non-dairy whip (made by Rich's) as I eat kosher and can't eat meat and milk products together... Thus-

1 carton heavy cream (Rich's whip)
5 eggs
3/4 c sugar substitute
1 tsp vanilla
flavoring (I use 1 T decaf coffee but can use chocolate or just put extra vanilla in).

Whip the Rich's until stiff. Add flavoring and whip some more. Separate eggs and beat whites until stiff. Add 1/2 c sugar substitute and beat a bit more. Mix yokes with rest of sugar substitute.
Fold all three concoctions together well. Freeze until solid.

I can tell you that the non-dairy whip (not Rich's) that I use here in Israel has 1.5 carbs for the entire carton so it is really low in carbs.

Good luck