In another mixing bowl, blend together the coconut oil and the sugar alternative. I use a paddle attachment for this. When this has blended together, you can slowly add the contents from the first bowl (flour etc) to the mixing bowl. I recommend doing this 1/2 at a time, stirring a bit between additions. Then add your eggs, one at a time, and your vanilla extract.
Bake this for 25-30 minutes. A toothpick test may give a false positive due to the chocolate chips.
Please see recipe post for details.