No cooking*, no egg separating, no problem. This nog packs a punch; if you don't like it strong, just cut back on the liquor. :)
1 empty milk can's worth of water
1/2 cup sugar
1/8 tsp nutmeg
1 tsp vanilla
1 cup brandy (or rum, or bourbon...)
In a bowl, combine milk, water, sugar, nutmeg, and vanilla. Using an electric mixer, beat on medium. With your free hand, add eggs one at a time, then slowly add brandy. Serve cold and top with additional nutmeg, if desired.
*I've been making this for a long time, and I've never had a problem. First of all, the sheer amount of alcohol involved will 'cook' the eggs and virtually eliminate any chance of you getting salmonella. Secondly, with less than 1,000 cases of salmonella caused by raw eggs in the U.S. every year, I'd say the odds are in your favor. Still, as a disclaimer, I should advise against this nog for elderly folks and pregnant women (pregnant women shouldn't be drinking anyway!).