From GSP:
"A SOUTHERN STREAM SHORT-WAVE TROUGH ORIGINATING FROM THE
EAST PACIFIC IS EXPECTED TO PASS TO THE SOUTH OF THE REGION LATE
MONDAY OR TUESDAY AND INDUCE CYCLOGENESIS ALONG OR JUST OFF OF THE
SOUTHEAST COAST. CONSIDERABLE UNCERTAINTY REMAINS REGARDING THE
EVENTUAL TRACK AND STRENGTH OF THIS FEATURE. THE 00Z EC AND 12Z CMC
KEEP THE BEST MOISTURE AND DYNAMICS AND HENCE PRECIPITATION TO THE
SOUTH OF THE REGION BEFORE KICKING THE DEVELOPING SFC LOW OUT TO
SEA. MEANWHILE THE GFS/FV3 HAVE THE SYSTEM A LITTLE FURTHER NORTH
AND EVEN TURNING UP THE COAST (GFS ESPECIALLY) WHICH WOULD SUPPORT
AT LEAST SOME PRECIPITATION INTO THE FA. HAVE SPLIT THE DIFFERENCE
IN THE GUIDANCE FOR NOW WITH ONLY LOW END POPS PRESENTED AT THIS
TIME. WITH CAD IN PLACE AT LEAST TO BEGIN WITH, WINTRY PRECIP IS
POSSIBLE, ESPECIALLY A HIGHER ELEVATIONS, SHOULD THE COASTAL LOW
THROW MOISTURE BACK INTO OUR REGION. CURRENT FORECAST HAS HIGHS IN
THE 50S, BUT COULD EASILY BE 5-10 DEGREES COOLER IF SOMETHING CLOSE
TO THE GFS VERIFIES."
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My comment: While it would be extraordinary, getting wintry precip on April 2nd outside of the mtns (especially in the Carolinas/TN and N GA/AL) would be far from impossible considering that on 4/25/1910 there was a trace of snow as far south as Americus, GA, and ATL had 1.5"...this on the 25th or 23 days later.