Yeah, to make low carb ice cream virtually indistnguishable from store bought - an ice cream maker is the thing - as a mini churner and freezer.
Choose your own milk substitute to mix with the cream, and your fave sugar-substitutes. I have found that crystals seem to be part of the making ice cream like ice cream thing - so I have a favourite brand of stevia crystals, and I don't need to use but a dessert spoon of it per batch of ice cream. My LC ice creams are not particularly sweet. As for the flavours - the LC world is yours to choose from. Fruit, fakely sweetened sweets and marshmallows chocolate and licorice for example. Chocolate, vanilla, strawberry are the staples of the ice cream world. If you want a store bought look you will probably want to do natural colours, and flavours from the supermarket in the little bottles. As well as stevia sweetened chocolate chips for your standard chocolate chip ice creams.
The key to lovely creamy ice cream is the anglaise sauce - the milk and cream, with the egg yolks added brought to the right simmer point.