Deke Arndt of the National Centers for Environment Information posted another informative (and funny) blog on first snow dates in NOAA’s Climate.gov blog, Beyond the Data. You can read it at https://www.climate.gov/news-features/blogs/beyond-data/first-dates.
In the Southeast, it is difficult to do good scientific studies of snowfall because the data are not very complete. Snow does not fall every year in many places, and when precipitation is frozen, the snow and ice depths are often not recorded, or are recorded incorrectly. The more you get, the easier it is to deal with it. (Just like driving in snow.)
If you are wondering if El Niño winters get more snow than neutral years, the short answer is that there is really no relationship between snow and the El Niño phase in the Southeast in fall and early winter, but a slight positive relationship in the January through April period. Snow here depends on a highly specific set of weather conditions that can occur (or not) in any given year regardless of the phase. You can see some correlation maps at http://www.cpc.noaa.gov/products/precip/CWlink/ENSO/composites/. Note that even for the areas most likely to see snow, the frequency of occurrence is still quite low, so that the snow will not happen every year.
