My family's traditional nog recipe:
6 eggs, separated
Beat egg whites, adding sweetener (I still use white sugar for this - 1/4 cup

) until they form soft peaks
Take the yolks, add sweetener (1/2 cup sugar), beat until very, very pale yellow
To yolks, add 1 quart half and half (cream or whole milk or a combo should be fine) and 2T rum (white or, by preference, spiced

) and/or a little vanilla, then gently fold in egg whites. It will still be a little separated with the foam kind of floating on the liquid, but that's half the fun.
Sooooo good. I don't know how it would turn out with other sweeteners, but it should be totally doable.